4115958200 has 48 divisors (see below), whose sum is σ = 9579364560. Its totient is φ = 1644704000.

The previous prime is 4115958191. The next prime is 4115958211. The reversal of 4115958200 is 28595114.

4115958200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4115958200² = 33882223808294480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196220 + ... + 216180.

It is an arithmetic number, because the mean of its divisors is an integer number (199570095).

Almost surely, 2^4115958200 is an apocalyptic number.

4115958200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4115958200 is an abundant number, since it is smaller than the sum of its proper divisors (5463406360).

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

4115958200 is a wasteful number, since it uses less digits than its factorization.

4115958200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21008 (or 20999 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 4115958200 is about 64155.7339604185. The cubic root of 4115958200 is about 1602.5945144933.

The spelling of 4115958200 in words is "four billion, one hundred fifteen million, nine hundred fifty-eight thousand, two hundred".