Hello dear...

NITs,there is a reservation for :-
1.Other Backward Classes.
2.Schedule Class Candidates.
3.Schedule Tribe Candidates.
4.Home State Students.
If you belong to general Category,you can get an NIT ny scoring at least 30,000 rank.
An OBC candidate can get a seat by securing around 35,000 rank.
And SC/ST candidates can get NIT even by securing rank around 1,25,000.

Since,your rank is 40,819 in AIEEE,you can't get an NIT.
But you can try for other good colleges through AIEEE counselling.
You can directly contact the colleges which doesn't take admission directly through AIEEE counselling.

You will surely get a good private college with this rank.
Best of luck.
Thanks