57409597440 has 936 divisors, whose sum is σ = 229159934640. Its totient is φ = 13249806336.

The previous prime is 57409597433. The next prime is 57409597457. The reversal of 57409597440 is 4479590475.

57409597440 is a `hidden beast` number, since 5 + 7 + 4 + 0 + 9 + 597 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

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, 591851472 + ... + 591851568.

It is an arithmetic number, because the mean of its divisors is an integer number (244828990).

Almost surely, 2^57409597440 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 57409597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114579967320).

57409597440 is an abundant number, since it is smaller than the sum of its proper divisors (171750337200).

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

57409597440 is a wasteful number, since it uses less digits than its factorization.

57409597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 57409597440 in words is "fifty-seven billion, four hundred nine million, five hundred ninety-seven thousand, four hundred forty".