414151413123 has 32 divisors (see below), whose sum is σ = 636258631680. Its totient is φ = 234720097920.

The previous prime is 414151413113. The next prime is 414151413157. The reversal of 414151413123 is 321314151414.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-414151413123 is a prime.

It is a super-2 number, since 2×414151413123² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414151413113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9015553 + ... + 9061373.

It is an arithmetic number, because the mean of its divisors is an integer number (19883082240).

Almost surely, 2^414151413123 is an apocalyptic number.

414151413123 is a deficient number, since it is larger than the sum of its proper divisors (222107218557).

414151413123 is a wasteful number, since it uses less digits than its factorization.

414151413123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49347.

The product of its digits is 5760, while the sum is 30.

Adding to 414151413123 its reverse (321314151414), we get a palindrome (735465564537).

The spelling of 414151413123 in words is "four hundred fourteen billion, one hundred fifty-one million, four hundred thirteen thousand, one hundred twenty-three".