4116295657 has 16 divisors (see below), whose sum is σ = 4242672000. Its totient is φ = 3992022144.

The previous prime is 4116295649. The next prime is 4116295727. The reversal of 4116295657 is 7565926114.

4116295657 = T₁₁₇₈₃ + T₁₁₇₈₄ + ... + T₁₁₈₄₁.

It is a cyclic number.

It is not a de Polignac number, because 4116295657 - 2³ = 4116295649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4116295957) 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, 4478644 + ... + 4479562.

It is an arithmetic number, because the mean of its divisors is an integer number (265167000).

Almost surely, 2^4116295657 is an apocalyptic number.

It is an amenable number.

4116295657 is a deficient number, since it is larger than the sum of its proper divisors (126376343).

4116295657 is an equidigital number, since it uses as much as digits as its factorization.

4116295657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920.

The product of its digits is 453600, while the sum is 46.

The square root of 4116295657 is about 64158.3638896754. The cubic root of 4116295657 is about 1602.6383108531.

The spelling of 4116295657 in words is "four billion, one hundred sixteen million, two hundred ninety-five thousand, six hundred fifty-seven".