442539186964 has 288 divisors, whose sum is σ = 992797876224. Its totient is φ = 168824113920.

The previous prime is 442539186959. The next prime is 442539186989. The reversal of 442539186964 is 469681935244.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2246391714 + ... + 2246391910.

It is an arithmetic number, because the mean of its divisors is an integer number (3447214848).

Almost surely, 2^442539186964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442539186964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496398938112).

442539186964 is an abundant number, since it is smaller than the sum of its proper divisors (550258689260).

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

442539186964 is a wasteful number, since it uses less digits than its factorization.

442539186964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 430 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 61.

The spelling of 442539186964 in words is "four hundred forty-two billion, five hundred thirty-nine million, one hundred eighty-six thousand, nine hundred sixty-four".