442251152244 has 72 divisors (see below), whose sum is σ = 1221327368352. Its totient is φ = 133819202880.

The previous prime is 442251152177. The next prime is 442251152249.

442251152244 is a `hidden beast` number, since 4 + 42 + 2 + 51 + 1 + 522 + 44 = 666.

442251152244 is nontrivially palindromic in base 10.

442251152244 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×442251152244² (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 a junction number, because it is equal to n+sod(n) for n = 442251152199 and 442251152208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442251152249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547099 + ... + 1088034.

It is an arithmetic number, because the mean of its divisors is an integer number (16962880116).

Almost surely, 2^442251152244 is an apocalyptic number.

442251152244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442251152244 is an abundant number, since it is smaller than the sum of its proper divisors (779076216108).

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

442251152244 is a wasteful number, since it uses less digits than its factorization.

442251152244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635837 (or 1635832 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 442251 and 152244, that added together give a palindrome (594495).

The spelling of 442251152244 in words is "four hundred forty-two billion, two hundred fifty-one million, one hundred fifty-two thousand, two hundred forty-four".