4022816256 has 120 divisors (see below), whose sum is σ = 11770146960. Its totient is φ = 1322459136.

The previous prime is 4022816221. The next prime is 4022816269. The reversal of 4022816256 is 6526182204.

It is a happy number.

4022816256 is a `hidden beast` number, since 4 + 0 + 2 + 28 + 1 + 625 + 6 = 666.

4022816256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4022816256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330405 + ... + 342363.

It is an arithmetic number, because the mean of its divisors is an integer number (98084558).

Almost surely, 2^4022816256 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 4022816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885073480).

4022816256 is an abundant number, since it is smaller than the sum of its proper divisors (7747330704).

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

4022816256 is a wasteful number, since it uses less digits than its factorization.

4022816256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12056 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4022816256 is about 63425.6750535617. The cubic root of 4022816256 is about 1590.4135437906.

The spelling of 4022816256 in words is "four billion, twenty-two million, eight hundred sixteen thousand, two hundred fifty-six".