413312404112144 has 20 divisors (see below), whose sum is σ = 828406327208460. Its totient is φ = 199530126122880.

The previous prime is 413312404112131. The next prime is 413312404112171. The reversal of 413312404112144 is 441211404213314.

It can be written as a sum of positive squares in 2 ways, for example, as 243364992025600 + 169947412086544 = 15600160^2 + 13036388^2 .

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, 445379745347 + ... + 445379746274.

It is an arithmetic number, because the mean of its divisors is an integer number (41420316360423).

Almost surely, 2^{413312404112144} is an apocalyptic number.

It is an amenable number.

413312404112144 is an abundant number, since it is smaller than the sum of its proper divisors (415093923096316).

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

413312404112144 is a wasteful number, since it uses less digits than its factorization.

413312404112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890759491658 (or 890759491652 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 413312404112144 its reverse (441211404213314), we get a palindrome (854523808325458).

The spelling of 413312404112144 in words is "four hundred thirteen trillion, three hundred twelve billion, four hundred four million, one hundred twelve thousand, one hundred forty-four".