442436686634244 has 96 divisors (see below), whose sum is σ = 1076303501521920. Its totient is φ = 141321719544192.

The previous prime is 442436686634197. The next prime is 442436686634269.

442436686634244 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140850217 + ... + 143957135.

It is an arithmetic number, because the mean of its divisors is an integer number (11211494807520).

Almost surely, 2^{442436686634244} is an apocalyptic number.

It is an amenable number.

442436686634244 is an abundant number, since it is smaller than the sum of its proper divisors (633866814887676).

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

442436686634244 is a wasteful number, since it uses less digits than its factorization.

442436686634244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111817 (or 3111815 counting only the distinct ones).

The product of its digits is 1528823808, while the sum is 66.

The spelling of 442436686634244 in words is "four hundred forty-two trillion, four hundred thirty-six billion, six hundred eighty-six million, six hundred thirty-four thousand, two hundred forty-four".