413321330224 has 20 divisors (see below), whose sum is σ = 873610993800. Its totient is φ = 187873331840.

The previous prime is 413321330207. The next prime is 413321330251. The reversal of 413321330224 is 422033123314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 413321330192 and 413321330201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1174208149 + ... + 1174208500.

It is an arithmetic number, because the mean of its divisors is an integer number (43680549690).

Almost surely, 2^413321330224 is an apocalyptic number.

413321330224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413321330224 is an abundant number, since it is smaller than the sum of its proper divisors (460289663576).

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

413321330224 is a wasteful number, since it uses less digits than its factorization.

413321330224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348416668 (or 2348416662 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 413321330224 its reverse (422033123314), we get a palindrome (835354453538).

The spelling of 413321330224 in words is "four hundred thirteen billion, three hundred twenty-one million, three hundred thirty thousand, two hundred twenty-four".