57360224040 has 256 divisors, whose sum is σ = 214154496000. Its totient is φ = 11992458240.

The previous prime is 57360223997. The next prime is 57360224063. The reversal of 57360224040 is 4042206375.

It is a junction number, because it is equal to n+sod(n) for n = 57360223992 and 57360224010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400875 + ... + 524805.

It is an arithmetic number, because the mean of its divisors is an integer number (836541000).

Almost surely, 2^57360224040 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 57360224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107077248000).

57360224040 is an abundant number, since it is smaller than the sum of its proper divisors (156794271960).

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

57360224040 is a wasteful number, since it uses less digits than its factorization.

57360224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124000 (or 123996 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 57360224040 in words is "fifty-seven billion, three hundred sixty million, two hundred twenty-four thousand, forty".