413112400401105 has 256 divisors, whose sum is σ = 796347780480000. Its totient is φ = 202767551078400.

The previous prime is 413112400401079. The next prime is 413112400401119. The reversal of 413112400401105 is 501104004211314.

It is a happy number.

413112400401105 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 1 + 240 + 0 + 401 + 10 + 5 = 666.

It is not a de Polignac number, because 413112400401105 - 2⁸ = 413112400400849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1458779254 + ... + 1459062416.

It is an arithmetic number, because the mean of its divisors is an integer number (3110733517500).

Almost surely, 2^{413112400401105} is an apocalyptic number.

413112400401105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413112400401105 is a deficient number, since it is larger than the sum of its proper divisors (383235380078895).

413112400401105 is a wasteful number, since it uses less digits than its factorization.

413112400401105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283457 (or 283451 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 413112400401105 its reverse (501104004211314), we get a palindrome (914216404612419).

The spelling of 413112400401105 in words is "four hundred thirteen trillion, one hundred twelve billion, four hundred million, four hundred one thousand, one hundred five".