442346526759972 has 24 divisors (see below), whose sum is σ = 1032539945169376. Its totient is φ = 147391978053888.

The previous prime is 442346526759953. The next prime is 442346526760001. The reversal of 442346526759972 is 279957625643244.

It is a super-2 number, since 2×442346526759972² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442346526759894 and 442346526759903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7107992518 + ... + 7108054749.

Almost surely, 2^{442346526759972} is an apocalyptic number.

It is an amenable number.

442346526759972 is an abundant number, since it is smaller than the sum of its proper divisors (590193418409404).

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

442346526759972 is a wasteful number, since it uses less digits than its factorization.

442346526759972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14216049867 (or 14216049865 counting only the distinct ones).

The product of its digits is 5486745600, while the sum is 75.

The spelling of 442346526759972 in words is "four hundred forty-two trillion, three hundred forty-six billion, five hundred twenty-six million, seven hundred fifty-nine thousand, nine hundred seventy-two".