4090313579688 has 512 divisors, whose sum is σ = 13856845824000. Its totient is φ = 1092575278080.

The previous prime is 4090313579663. The next prime is 4090313579713. The reversal of 4090313579688 is 8869753130904.

4090313579688 is a `hidden beast` number, since 4 + 0 + 90 + 31 + 357 + 96 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (4090313579663) and next prime (4090313579713).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1747249398 + ... + 1747251738.

It is an arithmetic number, because the mean of its divisors is an integer number (27064152000).

Almost surely, 2^{4090313579688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4090313579688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928422912000).

4090313579688 is an abundant number, since it is smaller than the sum of its proper divisors (9766532244312).

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

4090313579688 is a wasteful number, since it uses less digits than its factorization.

4090313579688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 4090313579688 in words is "four trillion, ninety billion, three hundred thirteen million, five hundred seventy-nine thousand, six hundred eighty-eight".