4165895920 has 40 divisors (see below), whose sum is σ = 10195485840. Its totient is φ = 1578654720.

The previous prime is 4165895821. The next prime is 4165895927. The reversal of 4165895920 is 295985614.

4165895920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165895927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368841 + ... + 1371880.

It is an arithmetic number, because the mean of its divisors is an integer number (254887146).

Almost surely, 2^4165895920 is an apocalyptic number.

4165895920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4165895920 is an abundant number, since it is smaller than the sum of its proper divisors (6029589920).

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

4165895920 is a wasteful number, since it uses less digits than its factorization.

4165895920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740753 (or 2740747 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The square root of 4165895920 is about 64543.7519826668. The cubic root of 4165895920 is about 1609.0497485276.

The spelling of 4165895920 in words is "four billion, one hundred sixty-five million, eight hundred ninety-five thousand, nine hundred twenty".