57145238029440 has 384 divisors, whose sum is σ = 216003484831680. Its totient is φ = 13806105354240.

The previous prime is 57145238029421. The next prime is 57145238029501. The reversal of 57145238029440 is 4492083254175.

It is a happy number.

57145238029440 is a `hidden beast` number, since 5 + 7 + 14 + 523 + 80 + 29 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×57145238029440² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17025379 + ... + 20103581.

Almost surely, 2^{57145238029440} 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 57145238029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108001742415840).

57145238029440 is an abundant number, since it is smaller than the sum of its proper divisors (158858246802240).

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

57145238029440 is a wasteful number, since it uses less digits than its factorization.

57145238029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078532 (or 3078517 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 57145238029440 in words is "fifty-seven trillion, one hundred forty-five billion, two hundred thirty-eight million, twenty-nine thousand, four hundred forty".