413232324224 has 64 divisors (see below), whose sum is σ = 867545985600. Its totient is φ = 195519928320.

The previous prime is 413232324203. The next prime is 413232324343. The reversal of 413232324224 is 422423232314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2061404 + ... + 2252964.

It is an arithmetic number, because the mean of its divisors is an integer number (13555406025).

Almost surely, 2^413232324224 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 413232324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433772992800).

413232324224 is an abundant number, since it is smaller than the sum of its proper divisors (454313661376).

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

413232324224 is a wasteful number, since it uses less digits than its factorization.

413232324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192481 (or 192469 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

Adding to 413232324224 its reverse (422423232314), we get a palindrome (835655556538).

The spelling of 413232324224 in words is "four hundred thirteen billion, two hundred thirty-two million, three hundred twenty-four thousand, two hundred twenty-four".