413112400401320 has 32 divisors (see below), whose sum is σ = 929599433382600. Its totient is φ = 165227798830848.

The previous prime is 413112400401293. The next prime is 413112400401331. The reversal of 413112400401320 is 23104004211314.

It can be written as a sum of positive squares in 4 ways, for example, as 411622501864324 + 1489898536996 = 20288482^2 + 1220614^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 413112400401320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535901579 + ... + 536671898.

Almost surely, 2^{413112400401320} is an apocalyptic number.

413112400401320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413112400401320 is an abundant number, since it is smaller than the sum of its proper divisors (516487032981280).

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

413112400401320 is a wasteful number, since it uses less digits than its factorization.

413112400401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072583117 (or 1072583113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 413112400401320 its reverse (23104004211314), we get a palindrome (436216404612634).

The spelling of 413112400401320 in words is "four hundred thirteen trillion, one hundred twelve billion, four hundred million, four hundred one thousand, three hundred twenty".