413634400456 has 64 divisors (see below), whose sum is σ = 812863296000. Its totient is φ = 197077985280.

The previous prime is 413634400453. The next prime is 413634400463. The reversal of 413634400456 is 654004436314.

It is a super-3 number, since 3×413634400456³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (413634400453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68604450 + ... + 68610478.

It is an arithmetic number, because the mean of its divisors is an integer number (12700989000).

Almost surely, 2^413634400456 is an apocalyptic number.

It is an amenable number.

413634400456 is a deficient number, since it is larger than the sum of its proper divisors (399228895544).

413634400456 is a wasteful number, since it uses less digits than its factorization.

413634400456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10262 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 413634400456 in words is "four hundred thirteen billion, six hundred thirty-four million, four hundred thousand, four hundred fifty-six".