442125521244 has 144 divisors (see below), whose sum is σ = 1318049066880. Its totient is φ = 123495477120.

The previous prime is 442125521213. The next prime is 442125521261.

442125521244 is a `hidden beast` number, since 4 + 4 + 2 + 125 + 521 + 2 + 4 + 4 = 666.

442125521244 is nontrivially palindromic in base 10.

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 = 442125521199 and 442125521208.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 515694 + ... + 1072469.

It is an arithmetic number, because the mean of its divisors is an integer number (9153118520).

Almost surely, 2^442125521244 is an apocalyptic number.

442125521244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442125521244 is an abundant number, since it is smaller than the sum of its proper divisors (875923545636).

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

442125521244 is a wasteful number, since it uses less digits than its factorization.

442125521244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588240 (or 1588235 counting only the distinct ones).

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

It can be divided in two parts, 442125 and 521244, that added together give a palindrome (963369).

The spelling of 442125521244 in words is "four hundred forty-two billion, one hundred twenty-five million, five hundred twenty-one thousand, two hundred forty-four".