4115205200 has 60 divisors (see below), whose sum is σ = 9895897500. Its totient is φ = 1644564480.

The previous prime is 4115205187. The next prime is 4115205203. The reversal of 4115205200 is 25025114.

It can be written as a sum of positive squares in 6 ways, for example, as 59043856 + 4056161344 = 7684^2 + 63688^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115205203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 495482 + ... + 503718.

It is an arithmetic number, because the mean of its divisors is an integer number (164931625).

Almost surely, 2^4115205200 is an apocalyptic number.

4115205200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4115205200 is an abundant number, since it is smaller than the sum of its proper divisors (5780692300).

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

4115205200 is a wasteful number, since it uses less digits than its factorization.

4115205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9504 (or 9493 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 4115205200 is about 64149.8651596400. The cubic root of 4115205200 is about 1602.4967788662.

The spelling of 4115205200 in words is "four billion, one hundred fifteen million, two hundred five thousand, two hundred".