413121331012224 has 32 divisors (see below), whose sum is σ = 1097353535502240. Its totient is φ = 137707110337280.

The previous prime is 413121331012189. The next prime is 413121331012279. The reversal of 413121331012224 is 422210133121314.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 413121331012191 and 413121331012200.

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, 537918399372 + ... + 537918400139.

It is an arithmetic number, because the mean of its divisors is an integer number (34292297984445).

Almost surely, 2^{413121331012224} is an apocalyptic number.

It is an amenable number.

413121331012224 is an abundant number, since it is smaller than the sum of its proper divisors (684232204490016).

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

413121331012224 is a wasteful number, since it uses less digits than its factorization.

413121331012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075836799528 (or 1075836799516 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 413121331012224 its reverse (422210133121314), we get a palindrome (835331464133538).

The spelling of 413121331012224 in words is "four hundred thirteen trillion, one hundred twenty-one billion, three hundred thirty-one million, twelve thousand, two hundred twenty-four".