4331224242324 has 216 divisors, whose sum is σ = 12844313937000. Its totient is φ = 1226984693760.

The previous prime is 4331224242311. The next prime is 4331224242329. The reversal of 4331224242324 is 4232424221334.

4331224242324 is a `hidden beast` number, since 4 + 3 + 3 + 1 + 224 + 2 + 423 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 299079921924 + 4032144320400 = 546882^2 + 2008020^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331224242329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149539204 + ... + 149568164.

It is an arithmetic number, because the mean of its divisors is an integer number (59464416375).

Almost surely, 2^{4331224242324} 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 4331224242324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422156968500).

4331224242324 is an abundant number, since it is smaller than the sum of its proper divisors (8513089694676).

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

4331224242324 is a wasteful number, since it uses less digits than its factorization.

4331224242324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29703 (or 29691 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 4331224242324 its reverse (4232424221334), we get a palindrome (8563648463658).

The spelling of 4331224242324 in words is "four trillion, three hundred thirty-one billion, two hundred twenty-four million, two hundred forty-two thousand, three hundred twenty-four".