4022318144 has 56 divisors (see below), whose sum is σ = 8633079000. Its totient is φ = 1848397824.

The previous prime is 4022318141. The next prime is 4022318149. The reversal of 4022318144 is 4418132204.

It can be written as a sum of positive squares in 4 ways, for example, as 287641600 + 3734676544 = 16960^2 + 61112^2 .

It is not an unprimeable number, because it can be changed into a prime (4022318141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 183482 + ... + 204230.

It is an arithmetic number, because the mean of its divisors is an integer number (154162125).

Almost surely, 2^4022318144 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 4022318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316539500).

4022318144 is an abundant number, since it is smaller than the sum of its proper divisors (4610760856).

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

4022318144 is a wasteful number, since it uses less digits than its factorization.

4022318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21007 (or 20997 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 4022318144 is about 63421.7481941329. The cubic root of 4022318144 is about 1590.3478985046.

The spelling of 4022318144 in words is "four billion, twenty-two million, three hundred eighteen thousand, one hundred forty-four".