4002338144 has 48 divisors (see below), whose sum is σ = 9479232000. Its totient is φ = 1625007744.

The previous prime is 4002338141. The next prime is 4002338147. The reversal of 4002338144 is 4418332004.

It is an interprime number because it is at equal distance from previous prime (4002338141) and next prime (4002338147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002338141) 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 7 ways as a sum of consecutive naturals, for example, 465944 + ... + 474455.

It is an arithmetic number, because the mean of its divisors is an integer number (197484000).

Almost surely, 2^4002338144 is an apocalyptic number.

It is an amenable number.

4002338144 is an abundant number, since it is smaller than the sum of its proper divisors (5476893856).

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

4002338144 is a wasteful number, since it uses less digits than its factorization.

4002338144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940435 (or 940427 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 4002338144 is about 63264.0351542644. The cubic root of 4002338144 is about 1587.7102894097.

The spelling of 4002338144 in words is "four billion, two million, three hundred thirty-eight thousand, one hundred forty-four".