If I have a car loan for $40,000 and the rate is 4.4% for 72 months - how much will I end up paying altogether? How much will monthly payments be?

Is that rate monthly? At what are the payment terms? What is the amortization used by your car loan.

I guess that to be annual interest. Normally, this would be the case:
$40,000 x (1+(4.4%x(72months/12)) = $50,560
Monthly payment = 50,560/72 = $702.22

A car loan contract will specify the payment amount. You can find loan calculator sites online where you can plug in the numbers to see the payment. Also any spreadsheet can do this as well. Excel has a loan amortization template.

It depends on whether it is simple interest or compound interest. Simple interest will mean one computation of interest and spreading over 72 months while compounded interest will be interest for year i charged on whole loan. For year two interest plus principal for first year will be charged interest and so forth. Total spread over 72 months.

Why are you shouting? Most car loans are simple interest. In fact most loans are. Compounding interests is generally done with investment savings, not loans.