4034144324 has 72 divisors (see below), whose sum is σ = 8436647520. Its totient is φ = 1681948800.

The previous prime is 4034144291. The next prime is 4034144329. The reversal of 4034144324 is 4234414304.

It is a happy number.

It is a super-2 number, since 2×4034144324² = 32548640853722833952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4034144329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4973879 + ... + 4974689.

It is an arithmetic number, because the mean of its divisors is an integer number (117175660).

Almost surely, 2^4034144324 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 4034144324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218323760).

4034144324 is an abundant number, since it is smaller than the sum of its proper divisors (4402503196).

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

4034144324 is a wasteful number, since it uses less digits than its factorization.

4034144324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 4034144324 is about 63514.9141855675. The cubic root of 4034144324 is about 1591.9049888375.

Adding to 4034144324 its reverse (4234414304), we get a palindrome (8268558628).

The spelling of 4034144324 in words is "four billion, thirty-four million, one hundred forty-four thousand, three hundred twenty-four".