442539961920 has 280 divisors, whose sum is σ = 1799077879104. Its totient is φ = 101151949824.

The previous prime is 442539961849. The next prime is 442539961921. The reversal of 442539961920 is 29169935244.

442539961920 is a `hidden beast` number, since 4 + 4 + 2 + 539 + 96 + 19 + 2 + 0 = 666.

442539961920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (442539961921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1038082 + ... + 1400961.

Almost surely, 2^442539961920 is an apocalyptic number.

442539961920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442539961920 is an abundant number, since it is smaller than the sum of its proper divisors (1356537917184).

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

442539961920 is a wasteful number, since it uses less digits than its factorization.

442539961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439079 (or 2439060 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 442539961920 in words is "four hundred forty-two billion, five hundred thirty-nine million, nine hundred sixty-one thousand, nine hundred twenty".