442242000456 has 64 divisors (see below), whose sum is σ = 1116247910400. Its totient is φ = 145995713088.

The previous prime is 442242000443. The next prime is 442242000467. The reversal of 442242000456 is 654000242244.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10042021 + ... + 10085963.

It is an arithmetic number, because the mean of its divisors is an integer number (17441373600).

Almost surely, 2^442242000456 is an apocalyptic number.

It is an amenable number.

442242000456 is an abundant number, since it is smaller than the sum of its proper divisors (674005909944).

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

442242000456 is a wasteful number, since it uses less digits than its factorization.

442242000456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47978 (or 47974 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 442242000456 in words is "four hundred forty-two billion, two hundred forty-two million, four hundred fifty-six", and thus it is an aban number.