413022320003304 has 48 divisors (see below), whose sum is σ = 1220293218193920. Its totient is φ = 125158278788640.

The previous prime is 413022320003303. The next prime is 413022320003309. The reversal of 413022320003304 is 403300023220314.

413022320003304 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 2 + 2 + 320 + 0 + 0 + 330 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (413022320003303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260746413352 + ... + 260746414935.

It is an arithmetic number, because the mean of its divisors is an integer number (25422775379040).

Almost surely, 2^{413022320003304} is an apocalyptic number.

413022320003304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413022320003304 is an abundant number, since it is smaller than the sum of its proper divisors (807270898190616).

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

413022320003304 is a wasteful number, since it uses less digits than its factorization.

413022320003304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521492828310 (or 521492828303 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 413022320003304 its reverse (403300023220314), we get a palindrome (816322343223618).

The spelling of 413022320003304 in words is "four hundred thirteen trillion, twenty-two billion, three hundred twenty million, three thousand, three hundred four".