441766332252564 has 96 divisors (see below), whose sum is σ = 1173401479240704. Its totient is φ = 128046659896320.

The previous prime is 441766332252529. The next prime is 441766332252569. The reversal of 441766332252564 is 465252233667144.

It is a junction number, because it is equal to n+sod(n) for n = 441766332252498 and 441766332252507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441766332252569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262543467 + ... + 264220749.

It is an arithmetic number, because the mean of its divisors is an integer number (12222932075424).

Almost surely, 2^{441766332252564} is an apocalyptic number.

441766332252564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441766332252564 is an abundant number, since it is smaller than the sum of its proper divisors (731635146988140).

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

441766332252564 is a wasteful number, since it uses less digits than its factorization.

441766332252564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764077 (or 1764075 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 60.

The spelling of 441766332252564 in words is "four hundred forty-one trillion, seven hundred sixty-six billion, three hundred thirty-two million, two hundred fifty-two thousand, five hundred sixty-four".