

I would advise against. A house is not a good place for a cat to be alone, and 40h per week is a lot. We have an old cat (17) and my roommate is at home all day and our cat still is super needy for attention.
There may be more aloof cats, but from my experience with cats they are most likely the exception and your cat would likely be understimulated.
Also, most cats do not handle traveling well. It is possible to train them but that works best when they are young and young cats should never be alone in a house for 40h/ week. My mom has taken in cats from an animal rescue organization where the owner was out for long hours too and she got depressed and overate so badly she had lifelong issues, even when she was with my mom and lost weight again. She also was incredibly anxious about my mom leaving her and would get stressed out if she had to be alone.
Despite what you may hear, cats are social animals and need interaction. If you are away from home 40h/week (and that’s not counting going to work), it’s better to get a bonded pair so they can play and interact. In rare cases you may find an old grumpy cat that will be fine - but you will probably never have a close bond with that kind of cat, and often they are used to going outside.
Wait you wouldn’t take your cat? After a week of you rarely being available you consider not being home at all for two days and a night?
I would strongly recommend against that. I’m worried that this may cause behavioral issues with the cat getting bored, depressed, feeling caged…
Possible consequences could be urinating outside the litterbox, willfully scratching your furniture/walls and more.
I’m not sure if with your work and travel habits a pet would be a good choice. Maybe one that doesn’t need social interaction?