MudBox, older software found in Maya 2016, the tools are now integrated into Maya 2018, Mesh Tools->Sculpting Tools or the Sculpting shelf

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mudbox_donut
       Change a torus into a fresh baked frosted chocolate donut.

In Maya
Select the Modeling section of Maya,  choose from upper left.


Choose Create->Polygon Primitives->Torus->option.jpg  
     Input Subdivisions Axis 40
     Input Subdivisions Height 40

Select the torus, Select the Scale Tool button from the side tool box.  mscale.jpg  
      Use the channel box on the right side of the screen and input: 
            Scale X   100
            Scale Y   100
            Scale Z   100


mudbox1
Fix the UVs for export to Mudbox:

Not all shapes require this step, wait and see if this is necessary. If you are using a torus, it is necessary.
     Make sure the torus is selected, and select Windows-> Modeling Editors ->UV Editor
    
Dolly out the window a bit with Alt and the right mouse key
     Use the right mouse to select UV in the UV Texture Editor window
     Use the left mouse button to drag a large box over all the UVs, they will highlight green
     Select the Scale Tool button from the side tool box.  mscale.jpg  
     Interactively scale the UVs a little smaller horizontally and vertically in the UV window.

Make sure the select by object type button sobject.jpg  is selected in the status line near the top.

MudBox
Export the torus for Mudbox:

Choose File->Export Selection... to save the selected torus
      Change Files of type: to FBX export
      Save the file
(If fbx does not appear, choose Windows->Settings/Preferences->Plug-in Manager  select fbxmaya.bundle  Close)



Start the MudBox software

Close the Welcome window

Select File->Import, import your saved FBX file from Maya.

Dolly out the window with the Alt and right mouse key


In the Sculpt Tools
tab lower left, choose Sculpt

Change the size of your brush larger on the right

Start sculpting your torus


In the Paint Tools tab, select Paint Brush
Answer OK to the Create New Paint Layer window, Start painting on your torus
Try changing the size and colors of the brush, etc.


In the Select/Move Tools tab lower left, choose Objects
      Select the torus

Choose File->Export Selection
      Use a new name



Start Maya

Choose File->Import
      Import the mudbox object.

Notice the texture map came over as well. And Mudbox added a reflection map you might not want.
You might want to change the location of the texture map to be located in the same directory as the model. This will make it easier when working between different computers.

You can also paint the texture in Photoshop.

Select the torus, Select the Scale Tool button from the side tool box.  mscale.jpg  
      Use the channel box on the right side of the screen and input: 
            Scale X   1
            Scale Y   1
            Scale Z   1

The tools in Maya do not like working at such a large scale, lighting and dynamics will give you problems if objects are scaled too big. A general rule of thumb, 1 grid unit is about 1 foot. (Ignore the scaling in the preferences, they will also give you problems.)


If you want to bring the torus back into mudbox, scale it up to 100 and export selected again.

You can also try File->Send to Maya option. Make certain to save files before trying.