4099160520 has 320 divisors, whose sum is σ = 16958430720. Its totient is φ = 864815616.

The previous prime is 4099160489. The next prime is 4099160561. The reversal of 4099160520 is 250619904.

4099160520 is a `hidden beast` number, since 40 + 9 + 9 + 1 + 605 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 287889 + ... + 301791.

It is an arithmetic number, because the mean of its divisors is an integer number (52995096).

Almost surely, 2^4099160520 is an apocalyptic number.

4099160520 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 4099160520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8479215360).

4099160520 is an abundant number, since it is smaller than the sum of its proper divisors (12859270200).

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

4099160520 is a wasteful number, since it uses less digits than its factorization.

4099160520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13946 (or 13933 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4099160520 is about 64024.6868012644. The cubic root of 4099160520 is about 1600.4114202410.

The spelling of 4099160520 in words is "four billion, ninety-nine million, one hundred sixty thousand, five hundred twenty".