440950449681 has 81 divisors (see below), whose sum is σ = 750624953481. Its totient is φ = 248712572304.

The previous prime is 440950449671. The next prime is 440950449683. The reversal of 440950449681 is 186944059044.

The square root of 440950449681 is 664041.

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

440950449681 is a `hidden beast` number, since 4 + 40 + 9 + 504 + 4 + 96 + 8 + 1 = 666.

It is not a de Polignac number, because 440950449681 - 2⁵ = 440950449649 is a prime.

It is a super-2 number, since 2×440950449681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (440950449683) 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 80 ways as a sum of consecutive naturals, for example, 1436320530 + ... + 1436320836.

Almost surely, 2^440950449681 is an apocalyptic number.

440950449681 is the 664041-st square number.

440950449681 is the 332021-st centered octagonal number.

It is an amenable number.

440950449681 is a deficient number, since it is larger than the sum of its proper divisors (309674503800).

440950449681 is an equidigital number, since it uses as much as digits as its factorization.

440950449681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 440950449681 in words is "four hundred forty billion, nine hundred fifty million, four hundred forty-nine thousand, six hundred eighty-one".