4115360800 has 144 divisors (see below), whose sum is σ = 10241110152. Its totient is φ = 1614643200.

The previous prime is 4115360771. The next prime is 4115360819. The reversal of 4115360800 is 80635114.

It can be written as a sum of positive squares in 12 ways, for example, as 105431824 + 4009928976 = 10268^2 + 63324^2 .

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, 14045454 + ... + 14045746.

Almost surely, 2^4115360800 is an apocalyptic number.

4115360800 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 4115360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120555076).

4115360800 is an abundant number, since it is smaller than the sum of its proper divisors (6125749352).

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

4115360800 is a wasteful number, since it uses less digits than its factorization.

4115360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 4115360800 is about 64151.0779332662. The cubic root of 4115360800 is about 1602.5169759438.

Adding to 4115360800 its reverse (80635114), we get a palindrome (4195995914).

The spelling of 4115360800 in words is "four billion, one hundred fifteen million, three hundred sixty thousand, eight hundred".