It all depends on the personality of your cat I think, but for the most part, I consider it do-able.
I've made a similar trip several times for visiting family on holidays. Though my drive is only 12 hours, I've never had any problems. On the other hand, my sister's cats seem to always put up a fuss even though their drives are significantly shorter.
The difference I think, is how the cats were introduced to the car. I knew as soon as I had my cats that they would need to be okay with being in a moving car, so I took time to take them on short drives around town, to help them get used to the feeling. After the drives were over, they immediately got fed treats and their favorite soft food to help show that car rides were a good thing.
Nowadays I don't make so many trips aside from the yearly holiday visits, so they do squawk a bit for the first hour, but they quickly get settled down and become used to the feeling again.
For the ride itself, I personally don't stop on my trip, I just let the cats free in the backseat of my car where they have a litter box, food, and water available. If you don't want to let your cats out of their carrier, then I would recommend stopping every 4 hours or so to make sure they drink and use the litter box if needed.
Depending on how your cats do in the car, you might want to get them some calming treats, or similar anti-anxiety aids. I used some treats on the first trip I made and they seems to work pretty well. Unfortunately there is always the risk of one of the cats getting carsick, so I would also pack a roll of paper towels and some small plastic bags to clean up if necessary.