4164119657 has 8 divisors (see below), whose sum is σ = 4312648200. Its totient is φ = 4015920384.

The previous prime is 4164119653. The next prime is 4164119681. The reversal of 4164119657 is 7569114614.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1332177001 + 2831942656 = 36499^2 + 53216^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4164119657 - 2² = 4164119653 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4164119651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56432 + ... + 107297.

It is an arithmetic number, because the mean of its divisors is an integer number (539081025).

Almost surely, 2^4164119657 is an apocalyptic number.

It is an amenable number.

4164119657 is a deficient number, since it is larger than the sum of its proper divisors (148528543).

4164119657 is a wasteful number, since it uses less digits than its factorization.

4164119657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164635.

The product of its digits is 181440, while the sum is 44.

The square root of 4164119657 is about 64529.9903688200. The cubic root of 4164119657 is about 1608.8210260712.

The spelling of 4164119657 in words is "four billion, one hundred sixty-four million, one hundred nineteen thousand, six hundred fifty-seven".