441333416995969 has 9 divisors (see below), whose sum is σ = 468821690859081. Its totient is φ = 415372291633920.

The previous prime is 441333416995921. The next prime is 441333416995981. The reversal of 441333416995969 is 969599614333144.

The square root of 441333416995969 is 21007937.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 71705415089025 + 369628001906944 = 8467905^2 + 19225712^2 .

It is not a de Polignac number, because 441333416995969 - 2⁷ = 441333416995841 is a prime.

It is a super-3 number, since 3×441333416995969³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 441333416995895 and 441333416995904.

It is not an unprimeable number, because it can be changed into a prime (441333416995909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 356517049 + ... + 357752809.

Almost surely, 2^{441333416995969} is an apocalyptic number.

441333416995969 is the 21007937-th square number.

441333416995969 is the 10503969-th centered octagonal number.

It is an amenable number.

441333416995969 is a deficient number, since it is larger than the sum of its proper divisors (27488273863112).

441333416995969 is an frugal number, since it uses more digits than its factorization.

441333416995969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471556 (or 1235778 counting only the distinct ones).

The product of its digits is 2040733440, while the sum is 76.

The spelling of 441333416995969 in words is "four hundred forty-one trillion, three hundred thirty-three billion, four hundred sixteen million, nine hundred ninety-five thousand, nine hundred sixty-nine".