4099006080 has 512 divisors, whose sum is σ = 15915916800. Its totient is φ = 990904320.

The previous prime is 4099006063. The next prime is 4099006091. The reversal of 4099006080 is 806009904.

4099006080 is a `hidden beast` number, since 40 + 9 + 9 + 0 + 0 + 608 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15949312 + ... + 15949568.

It is an arithmetic number, because the mean of its divisors is an integer number (31085775).

Almost surely, 2^4099006080 is an apocalyptic number.

4099006080 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 4099006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957958400).

4099006080 is an abundant number, since it is smaller than the sum of its proper divisors (11816910720).

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

4099006080 is a wasteful number, since it uses less digits than its factorization.

4099006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4099006080 is about 64023.4806926334. The cubic root of 4099006080 is about 1600.3913209513.

The spelling of 4099006080 in words is "four billion, ninety-nine million, six thousand, eighty".