414117345073 has 16 divisors (see below), whose sum is σ = 422902771200. Its totient is φ = 405420724800.

The previous prime is 414117344987. The next prime is 414117345077. The reversal of 414117345073 is 370543711414.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414117345073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414117345077) 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, 8676328 + ... + 8723926.

It is an arithmetic number, because the mean of its divisors is an integer number (26431423200).

Almost surely, 2^414117345073 is an apocalyptic number.

It is an amenable number.

414117345073 is a deficient number, since it is larger than the sum of its proper divisors (8785426127).

414117345073 is a wasteful number, since it uses less digits than its factorization.

414117345073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48528.

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 414117345073 in words is "four hundred fourteen billion, one hundred seventeen million, three hundred forty-five thousand, seventy-three".