4165957488 has 80 divisors (see below), whose sum is σ = 13417641216. Its totient is φ = 1082065920.

The previous prime is 4165957459. The next prime is 4165957511. The reversal of 4165957488 is 8847595614.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559881 + ... + 567272.

Almost surely, 2^4165957488 is an apocalyptic number.

4165957488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4165957488 is an abundant number, since it is smaller than the sum of its proper divisors (9251683728).

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

4165957488 is a wasteful number, since it uses less digits than its factorization.

4165957488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127182 (or 1127176 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 57.

The square root of 4165957488 is about 64544.2289286966. The cubic root of 4165957488 is about 1609.0576752328.

The spelling of 4165957488 in words is "four billion, one hundred sixty-five million, nine hundred fifty-seven thousand, four hundred eighty-eight".