40117645161 has 48 divisors (see below), whose sum is σ = 63559571712. Its totient is φ = 24181804800.

The previous prime is 40117645151. The next prime is 40117645207. The reversal of 40117645161 is 16154671104.

40117645161 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 7 + 645 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 40117645161 - 2⁵ = 40117645129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40117645111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22884261 + ... + 22886013.

It is an arithmetic number, because the mean of its divisors is an integer number (1324157744).

Almost surely, 2^40117645161 is an apocalyptic number.

It is an amenable number.

40117645161 is a deficient number, since it is larger than the sum of its proper divisors (23441926551).

40117645161 is a wasteful number, since it uses less digits than its factorization.

40117645161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 40117645161 in words is "forty billion, one hundred seventeen million, six hundred forty-five thousand, one hundred sixty-one".