413209696208064 has 112 divisors (see below), whose sum is σ = 1303792085027328. Its totient is φ = 112926873489408.

The previous prime is 413209696208033. The next prime is 413209696208093. The reversal of 413209696208064 is 460802696902314.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 413209696207989 and 413209696208007.

It is an unprimeable number.

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, 6683614537 + ... + 6683676360.

Almost surely, 2^{413209696208064} is an apocalyptic number.

It is an amenable number.

413209696208064 is an abundant number, since it is smaller than the sum of its proper divisors (890582388819264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413209696208064 is a wasteful number, since it uses less digits than its factorization.

413209696208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13367290942 (or 13367290932 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 413209696208064 in words is "four hundred thirteen trillion, two hundred nine billion, six hundred ninety-six million, two hundred eight thousand, sixty-four".