442256241160 has 64 divisors (see below), whose sum is σ = 1027427950080. Its totient is φ = 171153937920.

The previous prime is 442256241157. The next prime is 442256241179. The reversal of 442256241160 is 61142652244.

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 15 ways as a sum of consecutive naturals, for example, 5269284 + ... + 5352556.

It is an arithmetic number, because the mean of its divisors is an integer number (16053561720).

Almost surely, 2^442256241160 is an apocalyptic number.

442256241160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442256241160 is an abundant number, since it is smaller than the sum of its proper divisors (585171708920).

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

442256241160 is a wasteful number, since it uses less digits than its factorization.

442256241160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87598 (or 87594 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 442256241160 in words is "four hundred forty-two billion, two hundred fifty-six million, two hundred forty-one thousand, one hundred sixty".