4099335416208 has 240 divisors, whose sum is σ = 12232572534000. Its totient is φ = 1277058908160.

The previous prime is 4099335416207. The next prime is 4099335416213. The reversal of 4099335416208 is 8026145339904.

4099335416208 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 3 + 3 + 5 + 4 + 1 + 620 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 517294669824 + 3582040746384 = 719232^2 + 1892628^2 .

It is not an unprimeable number, because it can be changed into a prime (4099335416201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314142868 + ... + 314155916.

It is an arithmetic number, because the mean of its divisors is an integer number (50969052225).

Almost surely, 2^{4099335416208} is an apocalyptic number.

4099335416208 is a gapful number since it is divisible by the number (48) 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 4099335416208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116286267000).

4099335416208 is an abundant number, since it is smaller than the sum of its proper divisors (8133237117792).

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

4099335416208 is a wasteful number, since it uses less digits than its factorization.

4099335416208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13970 (or 13961 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4099335416208 in words is "four trillion, ninety-nine billion, three hundred thirty-five million, four hundred sixteen thousand, two hundred eight".