4165665900 has 144 divisors (see below), whose sum is σ = 13265900928. Its totient is φ = 1000832000.

The previous prime is 4165665871. The next prime is 4165665923. The reversal of 4165665900 is 95665614.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367315 + ... + 378485.

It is an arithmetic number, because the mean of its divisors is an integer number (92124312).

Almost surely, 2^4165665900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165665900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632950464).

4165665900 is an abundant number, since it is smaller than the sum of its proper divisors (9100235028).

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

4165665900 is a wasteful number, since it uses less digits than its factorization.

4165665900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11312 (or 11305 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 4165665900 is about 64541.9700659966. The cubic root of 4165665900 is about 1609.0201334146.

The spelling of 4165665900 in words is "four billion, one hundred sixty-five million, six hundred sixty-five thousand, nine hundred".