442332121233244 has 72 divisors (see below), whose sum is σ = 901449936288720. Its totient is φ = 189117389852160.

The previous prime is 442332121233239. The next prime is 442332121233311.

442332121233244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442332121233197 and 442332121233206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2950854 + ... + 29889325.

It is an arithmetic number, because the mean of its divisors is an integer number (12520138004010).

Almost surely, 2^{442332121233244} is an apocalyptic number.

442332121233244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442332121233244 is an abundant number, since it is smaller than the sum of its proper divisors (459117815055476).

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

442332121233244 is a wasteful number, since it uses less digits than its factorization.

442332121233244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32841859 (or 32841846 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

The spelling of 442332121233244 in words is "four hundred forty-two trillion, three hundred thirty-two billion, one hundred twenty-one million, two hundred thirty-three thousand, two hundred forty-four".