4167087957 has 64 divisors (see below), whose sum is σ = 6695136000. Its totient is φ = 2552039424.

The previous prime is 4167087949. The next prime is 4167087973. The reversal of 4167087957 is 7597807614.

It is not a de Polignac number, because 4167087957 - 2³ = 4167087949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4167087557) 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 63 ways as a sum of consecutive naturals, for example, 3390019 + ... + 3391247.

It is an arithmetic number, because the mean of its divisors is an integer number (104611500).

Almost surely, 2^4167087957 is an apocalyptic number.

It is an amenable number.

4167087957 is a deficient number, since it is larger than the sum of its proper divisors (2528048043).

4167087957 is a wasteful number, since it uses less digits than its factorization.

4167087957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 4167087957 is about 64552.9856551965. The cubic root of 4167087957 is about 1609.2032060276.

The spelling of 4167087957 in words is "four billion, one hundred sixty-seven million, eighty-seven thousand, nine hundred fifty-seven".