4022313984 has 528 divisors, whose sum is σ = 13975933440. Its totient is φ = 1134673920.

The previous prime is 4022313961. The next prime is 4022313989. The reversal of 4022313984 is 4893132204.

4022313984 is a `hidden beast` number, since 40 + 223 + 1 + 398 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4022313989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129752049 + ... + 129752079.

Almost surely, 2^4022313984 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 4022313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987966720).

4022313984 is an abundant number, since it is smaller than the sum of its proper divisors (9953619456).

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

4022313984 is a wasteful number, since it uses less digits than its factorization.

4022313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4022313984 is about 63421.7153978036. The cubic root of 4022313984 is about 1590.3473502429.

The spelling of 4022313984 in words is "four billion, twenty-two million, three hundred thirteen thousand, nine hundred eighty-four".