57340895040 has 1344 divisors, whose sum is σ = 245876746752. Its totient is φ = 12076646400.

The previous prime is 57340895033. The next prime is 57340895063. The reversal of 57340895040 is 4059804375.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 807618205 + ... + 807618275.

It is an arithmetic number, because the mean of its divisors is an integer number (182944008).

Almost surely, 2^57340895040 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 57340895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122938373376).

57340895040 is an abundant number, since it is smaller than the sum of its proper divisors (188535851712).

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

57340895040 is a wasteful number, since it uses less digits than its factorization.

57340895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 57340895040 in words is "fifty-seven billion, three hundred forty million, eight hundred ninety-five thousand, forty".