442504344412032 has 768 divisors, whose sum is σ = 1403887349148480. Its totient is φ = 123105989099520.

The previous prime is 442504344412021. The next prime is 442504344412099. The reversal of 442504344412032 is 230214443405244.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 28255170282 + ... + 28255185942.

Almost surely, 2^{442504344412032} is an apocalyptic number.

442504344412032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442504344412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701943674574240).

442504344412032 is an abundant number, since it is smaller than the sum of its proper divisors (961383004736448).

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

442504344412032 is a wasteful number, since it uses less digits than its factorization.

442504344412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16039 (or 16020 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 42.

Adding to 442504344412032 its reverse (230214443405244), we get a palindrome (672718787817276).

The spelling of 442504344412032 in words is "four hundred forty-two trillion, five hundred four billion, three hundred forty-four million, four hundred twelve thousand, thirty-two".