4115269800 has 240 divisors, whose sum is σ = 14565658140. Its totient is φ = 1076474880.

The previous prime is 4115269799. The next prime is 4115269813. The reversal of 4115269800 is 89625114.

4115269800 is a `hidden beast` number, since 41 + 1 + 526 + 98 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2768232996 + 1347036804 = 52614^2 + 36702^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 856204 + ... + 860996.

Almost surely, 2^4115269800 is an apocalyptic number.

4115269800 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 4115269800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282829070).

4115269800 is an abundant number, since it is smaller than the sum of its proper divisors (10450388340).

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

4115269800 is a wasteful number, since it uses less digits than its factorization.

4115269800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 4115269800 is about 64150.3686661269. The cubic root of 4115269800 is about 1602.5051640901.

The spelling of 4115269800 in words is "four billion, one hundred fifteen million, two hundred sixty-nine thousand, eight hundred".