4057080902400 has 648 divisors, whose sum is σ = 13935544404880. Its totient is φ = 1038711029760.

The previous prime is 4057080902387. The next prime is 4057080902473. The reversal of 4057080902400 is 42090807504.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4893945186 + ... + 4893946014.

Almost surely, 2^{4057080902400} is an apocalyptic number.

4057080902400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4057080902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967772202440).

4057080902400 is an abundant number, since it is smaller than the sum of its proper divisors (9878463502480).

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

4057080902400 is an equidigital number, since it uses as much as digits as its factorization.

4057080902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 4057080902400 in words is "four trillion, fifty-seven billion, eighty million, nine hundred two thousand, four hundred".