412401441423105 has 64 divisors (see below), whose sum is σ = 735651040320000. Its totient is φ = 219200664416256.

The previous prime is 412401441423079. The next prime is 412401441423161. The reversal of 412401441423105 is 501324144104214.

412401441423105 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 0 + 1 + 4 + 414 + 231 + 0 + 5 = 666.

It is not a de Polignac number, because 412401441423105 - 2¹⁰ = 412401441422081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 412401441423105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49881721 + ... + 57558569.

It is an arithmetic number, because the mean of its divisors is an integer number (11494547505000).

Almost surely, 2^{412401441423105} is an apocalyptic number.

412401441423105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412401441423105 is a deficient number, since it is larger than the sum of its proper divisors (323249598896895).

412401441423105 is a wasteful number, since it uses less digits than its factorization.

412401441423105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678215 (or 7678209 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 412401441423105 its reverse (501324144104214), we get a palindrome (913725585527319).

The spelling of 412401441423105 in words is "four hundred twelve trillion, four hundred one billion, four hundred forty-one million, four hundred twenty-three thousand, one hundred five".