57460034410400 has 72 divisors (see below), whose sum is σ = 140276340114624. Its totient is φ = 22983680966400.

The previous prime is 57460034410393. The next prime is 57460034410417. The reversal of 57460034410400 is 401443006475.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59023595 + ... + 59989205.

It is an arithmetic number, because the mean of its divisors is an integer number (1948282501592).

Almost surely, 2^{57460034410400} is an apocalyptic number.

57460034410400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57460034410400 is an abundant number, since it is smaller than the sum of its proper divisors (82816305704224).

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

57460034410400 is a wasteful number, since it uses less digits than its factorization.

57460034410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040014 (or 1040001 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

Adding to 57460034410400 its reverse (401443006475), we get a palindrome (57861477416875).

The spelling of 57460034410400 in words is "fifty-seven trillion, four hundred sixty billion, thirty-four million, four hundred ten thousand, four hundred".