442140462744960 has 256 divisors, whose sum is σ = 1624908128463360. Its totient is φ = 100166334578688.

The previous prime is 442140462744949. The next prime is 442140462745097. The reversal of 442140462744960 is 69447264041244.

It is a self number, because there is not a number n which added to its sum of digits gives 442140462744960.

It is a congruent number.

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, 144044802 + ... + 147082241.

It is an arithmetic number, because the mean of its divisors is an integer number (6347297376810).

Almost surely, 2^{442140462744960} is an apocalyptic number.

442140462744960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442140462744960 is an abundant number, since it is smaller than the sum of its proper divisors (1182767665718400).

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

442140462744960 is a wasteful number, since it uses less digits than its factorization.

442140462744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291127185 (or 291127173 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 57.

The spelling of 442140462744960 in words is "four hundred forty-two trillion, one hundred forty billion, four hundred sixty-two million, seven hundred forty-four thousand, nine hundred sixty".