414412441104123 has 288 divisors, whose sum is σ = 779957649132480. Its totient is φ = 209604968939520.

The previous prime is 414412441104119. The next prime is 414412441104169. The reversal of 414412441104123 is 321401144214414.

414412441104123 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 124 + 4 + 110 + 412 + 3 = 666.

It is not a de Polignac number, because 414412441104123 - 2² = 414412441104119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414412441104023) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13636907413 + ... + 13636937801.

It is an arithmetic number, because the mean of its divisors is an integer number (2708186281710).

Almost surely, 2^{414412441104123} is an apocalyptic number.

414412441104123 is a deficient number, since it is larger than the sum of its proper divisors (365545208028357).

414412441104123 is a wasteful number, since it uses less digits than its factorization.

414412441104123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30987 (or 30977 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 414412441104123 its reverse (321401144214414), we get a palindrome (735813585318537).

The spelling of 414412441104123 in words is "four hundred fourteen trillion, four hundred twelve billion, four hundred forty-one million, one hundred four thousand, one hundred twenty-three".