313440444144441 has 16 divisors (see below), whose sum is σ = 467472698208000. Its totient is φ = 207557877999024.

The previous prime is 313440444144437. The next prime is 313440444144449. The reversal of 313440444144441 is 144441444044313.

313440444144441 is a `hidden beast` number, since 31 + 34 + 4 + 0 + 4 + 4 + 4 + 144 + 441 = 666.

It is not a de Polignac number, because 313440444144441 - 2² = 313440444144437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313440444144449) 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 15 ways as a sum of consecutive naturals, for example, 38956054161 + ... + 38956062206.

It is an arithmetic number, because the mean of its divisors is an integer number (29217043638000).

Almost surely, 2^{313440444144441} is an apocalyptic number.

It is an amenable number.

313440444144441 is a deficient number, since it is larger than the sum of its proper divisors (154032254063559).

313440444144441 is a wasteful number, since it uses less digits than its factorization.

313440444144441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77912116525 (or 77912116519 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 45.

Adding to 313440444144441 its reverse (144441444044313), we get a palindrome (457881888188754).

The spelling of 313440444144441 in words is "three hundred thirteen trillion, four hundred forty billion, four hundred forty-four million, one hundred forty-four thousand, four hundred forty-one".