413455640631561 has 40 divisors (see below), whose sum is σ = 686492384523264. Its totient is φ = 245851267128480.

The previous prime is 413455640631547. The next prime is 413455640631623. The reversal of 413455640631561 is 165136046554314.

413455640631561 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 5 + 5 + 6 + 40 + 6 + 31 + 561 = 666.

It is not a de Polignac number, because 413455640631561 - 2⁵ = 413455640631529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413455640631498 and 413455640631507.

It is not an unprimeable number, because it can be changed into a prime (413455640231561) 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 39 ways as a sum of consecutive naturals, for example, 4377646281 + ... + 4377740726.

Almost surely, 2^{413455640631561} is an apocalyptic number.

It is an amenable number.

413455640631561 is a deficient number, since it is larger than the sum of its proper divisors (273036743891703).

413455640631561 is a wasteful number, since it uses less digits than its factorization.

413455640631561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8755387083 (or 8755387074 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 413455640631561 in words is "four hundred thirteen trillion, four hundred fifty-five billion, six hundred forty million, six hundred thirty-one thousand, five hundred sixty-one".