413311231120 has 80 divisors (see below), whose sum is σ = 1024304194800. Its totient is φ = 154555154432.

The previous prime is 413311231117. The next prime is 413311231199. The reversal of 413311231120 is 21132113314.

It can be written as a sum of positive squares in 8 ways, for example, as 15564059536 + 397747171584 = 124756^2 + 630672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 413311231091 and 413311231100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817177 + ... + 1222456.

It is an arithmetic number, because the mean of its divisors is an integer number (12803802435).

Almost surely, 2^413311231120 is an apocalyptic number.

413311231120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413311231120 is an abundant number, since it is smaller than the sum of its proper divisors (610992963680).

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

413311231120 is a wasteful number, since it uses less digits than its factorization.

413311231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039812 (or 2039806 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 413311231120 its reverse (21132113314), we get a palindrome (434443344434).

The spelling of 413311231120 in words is "four hundred thirteen billion, three hundred eleven million, two hundred thirty-one thousand, one hundred twenty".