4002347158656 has 256 divisors, whose sum is σ = 13261663595520. Its totient is φ = 1039010918400.

The previous prime is 4002347158631. The next prime is 4002347158687. The reversal of 4002347158656 is 6568517432004.

4002347158656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4002347158599 and 4002347158608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56350686 + ... + 56421666.

It is an arithmetic number, because the mean of its divisors is an integer number (51803373420).

Almost surely, 2^{4002347158656} 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 4002347158656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630831797760).

4002347158656 is an abundant number, since it is smaller than the sum of its proper divisors (9259316436864).

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

4002347158656 is a wasteful number, since it uses less digits than its factorization.

4002347158656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72923 (or 72911 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 4002347158656 in words is "four trillion, two billion, three hundred forty-seven million, one hundred fifty-eight thousand, six hundred fifty-six".