4116295656 has 48 divisors (see below), whose sum is σ = 12161784960. Its totient is φ = 1247362080.

The previous prime is 4116295649. The next prime is 4116295727. The reversal of 4116295656 is 6565926114.

4116295656 is a `hidden beast` number, since 4 + 11 + 629 + 5 + 6 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2597880 + ... + 2599463.

It is an arithmetic number, because the mean of its divisors is an integer number (253370520).

Almost surely, 2^4116295656 is an apocalyptic number.

It is an amenable number.

4116295656 is an abundant number, since it is smaller than the sum of its proper divisors (8045489304).

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

4116295656 is a wasteful number, since it uses less digits than its factorization.

4116295656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197366 (or 5197359 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 4116295656 is about 64158.3638818822. The cubic root of 4116295656 is about 1602.6383107233.

The spelling of 4116295656 in words is "four billion, one hundred sixteen million, two hundred ninety-five thousand, six hundred fifty-six".