Well Jade, don't worry one bit about changing the colour from "the" white of the rest of the place. The only time you should worry is if there is a clause in your lease that says it has to be "white" and I've seen those.
Heck, I painted a GF's place about 4 different colours (various pastels) and the super/owner saw it and a) gave us some money towards the paint, and b) asked us if we'd be interested in doing other apartments in the building as people moved out.
As for the messy fingerprints, don't worry about the super, heck, every apartment I ever moved in to needed a paint job before we could occupy it and as for oily marks, try TSP (in the paint section of homo depot or any hardware store).
As tough as it may be to paint over, if you really want to insure that the marks come off, semi-gloss is the way to go. It will show the cleaning up less than matte or flat paint will.....
If you want it to look really nice, and depending on how much trim you have, do a white on white scheme: semi on the walls then gloss on the trim. You could even tint the walls warm white (more creamy) or cool white (a drop of blue in a gallon) and then do the trim bright or brillant white. It looks a little stark but is classic.