813415680441 has 80 divisors (see below), whose sum is σ = 1513961563520. Its totient is φ = 429053980320.

The previous prime is 813415680401. The next prime is 813415680527. The reversal of 813415680441 is 144086514318.

813415680441 is a `hidden beast` number, since 8 + 1 + 3 + 41 + 568 + 0 + 4 + 41 = 666.

It is not a de Polignac number, because 813415680441 - 2⁶ = 813415680377 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (813415680401) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 360156 + ... + 1325346.

It is an arithmetic number, because the mean of its divisors is an integer number (18924519544).

Almost surely, 2^813415680441 is an apocalyptic number.

It is an amenable number.

813415680441 is a deficient number, since it is larger than the sum of its proper divisors (700545883079).

813415680441 is an equidigital number, since it uses as much as digits as its factorization.

813415680441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965241 (or 965214 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

It can be divided in two parts, 813415 and 680441, that added together give a triangular number (1493856 = T₁₇₂₈).

The spelling of 813415680441 in words is "eight hundred thirteen billion, four hundred fifteen million, six hundred eighty thousand, four hundred forty-one".