4 hours left in which to sleep.
You will not be able to sleep if you are anxious and you keep looking at the clock.
Your body can compensate with a loss of one night's sleep. In my IT career I did a lot of emergency 24+ hour jobs.
Here is what you can do: One hour before the interview, drink a cup of coffee, maybe 90 mins if you put sugar in the coffee. Although you may be tempted to give yourself a boost right before the interview, but the sugar will make you jittery and nervous.
Trust me - once the interview starts, the slight bit of nervous adrenaline will follow you through. Good luck!