4075991290368 has 400 divisors, whose sum is σ = 12501805726080. Its totient is φ = 1321494994944.

The previous prime is 4075991290363. The next prime is 4075991290373. The reversal of 4075991290368 is 8630921995704.

4075991290368 is a `hidden beast` number, since 4 + 0 + 7 + 599 + 1 + 2 + 9 + 0 + 36 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4075991290363) and next prime (4075991290373).

It is a super-2 number, since 2×4075991290368² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4075991290363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 317710578 + ... + 317723406.

It is a 1-persistent number, because it is pandigital, but 2⋅4075991290368 = 8151982580736 is not.

Almost surely, 2^{4075991290368} is an apocalyptic number.

4075991290368 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 4075991290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250902863040).

4075991290368 is an abundant number, since it is smaller than the sum of its proper divisors (8425814435712).

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

4075991290368 is a wasteful number, since it uses less digits than its factorization.

4075991290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13069 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 4075991290368 in words is "four trillion, seventy-five billion, nine hundred ninety-one million, two hundred ninety thousand, three hundred sixty-eight".