57121439293440 has 2240 divisors, whose sum is σ = 230398370231040. Its totient is φ = 13453649510400.

The previous prime is 57121439293403. The next prime is 57121439293483. The reversal of 57121439293440 is 4439293412175.

57121439293440 is a `hidden beast` number, since 5 + 7 + 1 + 21 + 4 + 3 + 92 + 93 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 161817108304 + ... + 161817108656.

Almost surely, 2^{57121439293440} 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 57121439293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115199185115520).

57121439293440 is an abundant number, since it is smaller than the sum of its proper divisors (173276930937600).

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

57121439293440 is a wasteful number, since it uses less digits than its factorization.

57121439293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 57121439293440 in words is "fifty-seven trillion, one hundred twenty-one billion, four hundred thirty-nine million, two hundred ninety-three thousand, four hundred forty".