57492642493440 has 2376 divisors, whose sum is σ = 257388456360672. Its totient is φ = 11731914915840.

The previous prime is 57492642493427. The next prime is 57492642493459. The reversal of 57492642493440 is 4439424629475.

57492642493440 is a `hidden beast` number, since 5 + 7 + 4 + 9 + 264 + 24 + 9 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 344267320237 + ... + 344267320403.

Almost surely, 2^{57492642493440} 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 57492642493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128694228180336).

57492642493440 is an abundant number, since it is smaller than the sum of its proper divisors (199895813867232).

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

57492642493440 is a wasteful number, since it uses less digits than its factorization.

57492642493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 57492642493440 in words is "fifty-seven trillion, four hundred ninety-two billion, six hundred forty-two million, four hundred ninety-three thousand, four hundred forty".