440854832961 has 81 divisors (see below), whose sum is σ = 693654952809. Its totient is φ = 269752013568.

The previous prime is 440854832911. The next prime is 440854832969. The reversal of 440854832961 is 169238458044.

The square root of 440854832961 is 663969.

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

440854832961 is a `hidden beast` number, since 4 + 4 + 0 + 8 + 548 + 3 + 2 + 96 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1683542961 + 439171290000 = 41031^2 + 662700^2 .

It is not a de Polignac number, because 440854832961 - 2⁷ = 440854832833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 440854832898 and 440854832907.

It is not an unprimeable number, because it can be changed into a prime (440854832969) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1591533555 + ... + 1591533831.

Almost surely, 2^440854832961 is an apocalyptic number.

440854832961 is the 663969-th square number.

440854832961 is the 331985-th centered octagonal number.

It is an amenable number.

440854832961 is a deficient number, since it is larger than the sum of its proper divisors (252800119848).

440854832961 is an equidigital number, since it uses as much as digits as its factorization.

440854832961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 440854832961 in words is "four hundred forty billion, eight hundred fifty-four million, eight hundred thirty-two thousand, nine hundred sixty-one".