441308488915968 has 88 divisors (see below), whose sum is σ = 1176347888263440. Its totient is φ = 147090339594240.

The previous prime is 441308488915961. The next prime is 441308488915991. The reversal of 441308488915968 is 869519884803144.

It is a super-2 number, since 2×441308488915968² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441308488915893 and 441308488915902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441308488915961) 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 7 ways as a sum of consecutive naturals, for example, 30123048 + ... + 42308568.

Almost surely, 2^{441308488915968} is an apocalyptic number.

441308488915968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

441308488915968 is an abundant number, since it is smaller than the sum of its proper divisors (735039399347472).

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

441308488915968 is a wasteful number, since it uses less digits than its factorization.

441308488915968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12197333 (or 12197315 counting only the distinct ones).

The product of its (nonzero) digits is 1911029760, while the sum is 78.

The spelling of 441308488915968 in words is "four hundred forty-one trillion, three hundred eight billion, four hundred eighty-eight million, nine hundred fifteen thousand, nine hundred sixty-eight".