442361207160 has 192 divisors, whose sum is σ = 1571348263680. Its totient is φ = 107442524160.

The previous prime is 442361207147. The next prime is 442361207201. The reversal of 442361207160 is 61702163244.

442361207160 is a `hidden beast` number, since 4 + 4 + 23 + 612 + 0 + 7 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976107 + ... + 1355546.

It is an arithmetic number, because the mean of its divisors is an integer number (8184105540).

Almost surely, 2^442361207160 is an apocalyptic number.

442361207160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442361207160 is an abundant number, since it is smaller than the sum of its proper divisors (1128987056520).

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

442361207160 is a wasteful number, since it uses less digits than its factorization.

442361207160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331718 (or 2331711 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 442361207160 in words is "four hundred forty-two billion, three hundred sixty-one million, two hundred seven thousand, one hundred sixty".