413112400401312 has 72 divisors (see below), whose sum is σ = 1174791549072960. Its totient is φ = 137703763013760.

The previous prime is 413112400401293. The next prime is 413112400401331. The reversal of 413112400401312 is 213104004211314.

It is a happy number.

413112400401312 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 1 + 240 + 0 + 401 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (413112400401293) and next prime (413112400401331).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118293987 + ... + 121736157.

It is an arithmetic number, because the mean of its divisors is an integer number (16316549292680).

Almost surely, 2^{413112400401312} is an apocalyptic number.

It is an amenable number.

413112400401312 is an abundant number, since it is smaller than the sum of its proper divisors (761679148671648).

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

413112400401312 is a wasteful number, since it uses less digits than its factorization.

413112400401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858906 (or 3858895 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 413112400401312 its reverse (213104004211314), we get a palindrome (626216404612626).

The spelling of 413112400401312 in words is "four hundred thirteen trillion, one hundred twelve billion, four hundred million, four hundred one thousand, three hundred twelve".