4095879200 has 144 divisors (see below), whose sum is σ = 11460766464. Its totient is φ = 1400217600.

The previous prime is 4095879199. The next prime is 4095879233. The reversal of 4095879200 is 29785904.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2412752 + ... + 2414448.

It is an arithmetic number, because the mean of its divisors is an integer number (79588656).

Almost surely, 2^4095879200 is an apocalyptic number.

4095879200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4095879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730383232).

4095879200 is an abundant number, since it is smaller than the sum of its proper divisors (7364887264).

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

4095879200 is a wasteful number, since it uses less digits than its factorization.

4095879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2142 counting only the distinct ones).

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

The square root of 4095879200 is about 63999.0562430416. The cubic root of 4095879200 is about 1599.9842706787.

The spelling of 4095879200 in words is "four billion, ninety-five million, eight hundred seventy-nine thousand, two hundred".