413221414720 has 28 divisors (see below), whose sum is σ = 983983494564. Its totient is φ = 165288565760.

The previous prime is 413221414699. The next prime is 413221414757. The reversal of 413221414720 is 27414122314.

It can be written as a sum of positive squares in 2 ways, for example, as 117616074304 + 295605340416 = 342952^2 + 543696^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 645658141 + ... + 645658780.

It is an arithmetic number, because the mean of its divisors is an integer number (35142267663).

Almost surely, 2^413221414720 is an apocalyptic number.

413221414720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413221414720 is an abundant number, since it is smaller than the sum of its proper divisors (570762079844).

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

413221414720 is a wasteful number, since it uses less digits than its factorization.

413221414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291316938 (or 1291316928 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 413221414720 in words is "four hundred thirteen billion, two hundred twenty-one million, four hundred fourteen thousand, seven hundred twenty".