4115886400 has 84 divisors (see below), whose sum is σ = 10660766080. Its totient is φ = 1559692800.

The previous prime is 4115886389. The next prime is 4115886403. The reversal of 4115886400 is 46885114.

It is a self number, because there is not a number n which added to its sum of digits gives 4115886400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115886403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37296 + ... + 98095.

Almost surely, 2^4115886400 is an apocalyptic number.

4115886400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4115886400 is an abundant number, since it is smaller than the sum of its proper divisors (6544879680).

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

4115886400 is a wasteful number, since it uses less digits than its factorization.

4115886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135432 (or 135417 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 4115886400 is about 64155.1743821182. The cubic root of 4115886400 is about 1602.5851957272.

The spelling of 4115886400 in words is "four billion, one hundred fifteen million, eight hundred eighty-six thousand, four hundred".