442222524072 has 768 divisors, whose sum is σ = 1564213248000. Its totient is φ = 109930867200.

The previous prime is 442222524019. The next prime is 442222524083. The reversal of 442222524072 is 270425222244.

442222524072 is a `hidden beast` number, since 4 + 4 + 22 + 225 + 2 + 407 + 2 = 666.

It is a super-2 number, since 2×442222524072² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1631817297 + ... + 1631817567.

It is an arithmetic number, because the mean of its divisors is an integer number (2036736000).

Almost surely, 2^442222524072 is an apocalyptic number.

442222524072 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 442222524072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782106624000).

442222524072 is an abundant number, since it is smaller than the sum of its proper divisors (1121990723928).

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

442222524072 is a wasteful number, since it uses less digits than its factorization.

442222524072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

The spelling of 442222524072 in words is "four hundred forty-two billion, two hundred twenty-two million, five hundred twenty-four thousand, seventy-two".