4099099915680 has 1152 divisors, whose sum is σ = 16719618779136. Its totient is φ = 834591744000.

The previous prime is 4099099915657. The next prime is 4099099915711. The reversal of 4099099915680 is 865199909904.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2691463399 + ... + 2691464921.

It is an arithmetic number, because the mean of its divisors is an integer number (14513557968).

Almost surely, 2^{4099099915680} is an apocalyptic number.

4099099915680 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 4099099915680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8359809389568).

4099099915680 is an abundant number, since it is smaller than the sum of its proper divisors (12620518863456).

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

4099099915680 is a wasteful number, since it uses less digits than its factorization.

4099099915680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 69.

The spelling of 4099099915680 in words is "four trillion, ninety-nine billion, ninety-nine million, nine hundred fifteen thousand, six hundred eighty".