442505707148992 has 56 divisors (see below), whose sum is σ = 886229226796320. Its totient is φ = 219204203028480.

The previous prime is 442505707148951. The next prime is 442505707149059. The reversal of 442505707148992 is 299841707505244.

It is a super-2 number, since 2×442505707148992² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78771453 + ... + 84201859.

Almost surely, 2^{442505707148992} 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 442505707148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443114613398160).

442505707148992 is an abundant number, since it is smaller than the sum of its proper divisors (443723519647328).

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

442505707148992 is a wasteful number, since it uses less digits than its factorization.

442505707148992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442209 (or 5442199 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 67.

The spelling of 442505707148992 in words is "four hundred forty-two trillion, five hundred five billion, seven hundred seven million, one hundred forty-eight thousand, nine hundred ninety-two".