4004124231224 has 64 divisors (see below), whose sum is σ = 8278405027200. Its totient is φ = 1803961063296.

The previous prime is 4004124231203. The next prime is 4004124231253. The reversal of 4004124231224 is 4221324214004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6963647 + ... + 7516689.

It is an arithmetic number, because the mean of its divisors is an integer number (129350078550).

Almost surely, 2^{4004124231224} 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 4004124231224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139202513600).

4004124231224 is an abundant number, since it is smaller than the sum of its proper divisors (4274280795976).

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

4004124231224 is a wasteful number, since it uses less digits than its factorization.

4004124231224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554724 (or 554720 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4004124231224 its reverse (4221324214004), we get a palindrome (8225448445228).

The spelling of 4004124231224 in words is "four trillion, four billion, one hundred twenty-four million, two hundred thirty-one thousand, two hundred twenty-four".