414234342300123 has 48 divisors (see below), whose sum is σ = 602365503946752. Its totient is φ = 274302023400000.

The previous prime is 414234342300049. The next prime is 414234342300137. The reversal of 414234342300123 is 321003243432414.

414234342300123 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 3 + 4 + 342 + 300 + 1 + 2 + 3 = 666.

It is not a de Polignac number, because 414234342300123 - 2⁹ = 414234342299611 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414234342300193) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9820380093 + ... + 9820422273.

It is an arithmetic number, because the mean of its divisors is an integer number (12549281332224).

Almost surely, 2^{414234342300123} is an apocalyptic number.

414234342300123 is a deficient number, since it is larger than the sum of its proper divisors (188131161646629).

414234342300123 is a wasteful number, since it uses less digits than its factorization.

414234342300123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50736 (or 50733 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 414234342300123 its reverse (321003243432414), we get a palindrome (735237585732537).

The spelling of 414234342300123 in words is "four hundred fourteen trillion, two hundred thirty-four billion, three hundred forty-two million, three hundred thousand, one hundred twenty-three".