441634677136 has 45 divisors (see below), whose sum is σ = 864591304449. Its totient is φ = 218537911488.

The previous prime is 441634677119. The next prime is 441634677137. The reversal of 441634677136 is 631776436144.

The square root of 441634677136 is 664556.

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

It can be written as a sum of positive squares in only one way, i.e., 275940090000 + 165694587136 = 525300^2 + 407056^2 .

It is a super-2 number, since 2×441634677136² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441634677137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 273796266 + ... + 273797878.

Almost surely, 2^441634677136 is an apocalyptic number.

441634677136 is the 664556-th square number.

It is an amenable number.

441634677136 is a deficient number, since it is larger than the sum of its proper divisors (422956627313).

441634677136 is an frugal number, since it uses more digits than its factorization.

441634677136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 1718 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 52.

The spelling of 441634677136 in words is "four hundred forty-one billion, six hundred thirty-four million, six hundred seventy-seven thousand, one hundred thirty-six".