4002754640416 has 96 divisors (see below), whose sum is σ = 9500004864000. Its totient is φ = 1621784892672.

The previous prime is 4002754640279. The next prime is 4002754640441. The reversal of 4002754640416 is 6140464572004.

4002754640416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4002754640416² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056895 + ... + 3020353.

It is an arithmetic number, because the mean of its divisors is an integer number (98958384000).

Almost surely, 2^{4002754640416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002754640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750002432000).

4002754640416 is an abundant number, since it is smaller than the sum of its proper divisors (5497250223584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4002754640416 is a wasteful number, since it uses less digits than its factorization.

4002754640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963974 (or 1963966 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 4002754640416 in words is "four trillion, two billion, seven hundred fifty-four million, six hundred forty thousand, four hundred sixteen".