4004141344 has 96 divisors (see below), whose sum is σ = 9304436736. Its totient is φ = 1660538880.

The previous prime is 4004141341. The next prime is 4004141357. The reversal of 4004141344 is 4431414004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4004141341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164652 + ... + 1168084.

It is an arithmetic number, because the mean of its divisors is an integer number (96921216).

Almost surely, 2^4004141344 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 4004141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652218368).

4004141344 is an abundant number, since it is smaller than the sum of its proper divisors (5300295392).

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

4004141344 is a wasteful number, since it uses less digits than its factorization.

4004141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4004141344 is about 63278.2849325106. The cubic root of 4004141344 is about 1587.9486941656.

Adding to 4004141344 its reverse (4431414004), we get a palindrome (8435555348).

The spelling of 4004141344 in words is "four billion, four million, one hundred forty-one thousand, three hundred forty-four".