40557125856000 has 288 divisors, whose sum is σ = 145072843651008. Its totient is φ = 9983292211200.

The previous prime is 40557125855947. The next prime is 40557125856031. The reversal of 40557125856000 is 65852175504.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15000849 + ... + 17496848.

It is an arithmetic number, because the mean of its divisors is an integer number (503725151566).

Almost surely, 2^{40557125856000} is an apocalyptic number.

40557125856000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40557125856000 is an abundant number, since it is smaller than the sum of its proper divisors (104515717795008).

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

40557125856000 is a wasteful number, since it uses less digits than its factorization.

40557125856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32497744 (or 32497720 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 48.

The spelling of 40557125856000 in words is "forty trillion, five hundred fifty-seven billion, one hundred twenty-five million, eight hundred fifty-six thousand".