Type of insulin is another factor. This goes along with #5 on @Marie’s list.
(BTW Marie, that is an awesome list!!!)
I have found NovoLog to be much better in a pump than Humalog, as far as lasting for the whole time (and not crapping out after 2 days, like Humalog did).
I discovered this simply through my own personal experience.
And then I found a bunch of research that backed me up. Here is a thread that lists a lot of the reference studies.
(Pay attention to the note I put at the beginning, as far as the insulin “names”. Otherwise the studies are super confusing. Like you are thinking - What is Aspart, I’ve never heard of that insulin brand before! 
)