4113517800 has 384 divisors, whose sum is σ = 15399014400. Its totient is φ = 888053760.

The previous prime is 4113517747. The next prime is 4113517861. The reversal of 4113517800 is 87153114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9369981 + ... + 9370419.

It is an arithmetic number, because the mean of its divisors is an integer number (40101600).

Almost surely, 2^4113517800 is an apocalyptic number.

4113517800 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 4113517800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7699507200).

4113517800 is an abundant number, since it is smaller than the sum of its proper divisors (11285496600).

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

4113517800 is a wasteful number, since it uses less digits than its factorization.

4113517800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 4113517800 is about 64136.7117959753. The cubic root of 4113517800 is about 1602.2777194992.

The spelling of 4113517800 in words is "four billion, one hundred thirteen million, five hundred seventeen thousand, eight hundred".