Parameters in file name

Hello all,

I am in a situation where I need to work with 40 or so parameters, and as a result when I export my results from a parametric sweep (with parameters appended to the file name) the file becomes too large to save. Is there a way to select which parameters are appended to the file name? On the flip side, is there a way to define "parameter sets" in which 1 parameter defines the others?

Thanks,
Aaron Shifman