42056512327200 has 288 divisors, whose sum is σ = 164684449520640. Its totient is φ = 9106974028800.

The previous prime is 42056512327169. The next prime is 42056512327211. The reversal of 42056512327200 is 272321565024.

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 47 ways as a sum of consecutive naturals, for example, 65558796 + ... + 66197195.

It is an arithmetic number, because the mean of its divisors is an integer number (571821005280).

Almost surely, 2^{42056512327200} is an apocalyptic number.

42056512327200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42056512327200 is an abundant number, since it is smaller than the sum of its proper divisors (122627937193440).

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

42056512327200 is a wasteful number, since it uses less digits than its factorization.

42056512327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131756040 (or 131756027 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 42056512327200 in words is "forty-two trillion, fifty-six billion, five hundred twelve million, three hundred twenty-seven thousand, two hundred".