4114042314129 has 24 divisors (see below), whose sum is σ = 6486457184064. Its totient is φ = 2491926732000.

The previous prime is 4114042314101. The next prime is 4114042314197. The reversal of 4114042314129 is 9214132404114.

4114042314129 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 0 + 4 + 231 + 412 + 9 = 666.

It is not a de Polignac number, because 4114042314129 - 2²⁷ = 4113908096401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4114042314093 and 4114042314102.

It is not an unprimeable number, because it can be changed into a prime (4114042314199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11762157 + ... + 12106874.

It is an arithmetic number, because the mean of its divisors is an integer number (270269049336).

Almost surely, 2^{4114042314129} is an apocalyptic number.

It is an amenable number.

4114042314129 is a deficient number, since it is larger than the sum of its proper divisors (2372414869935).

4114042314129 is a wasteful number, since it uses less digits than its factorization.

4114042314129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23870789 (or 23870786 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 4114042314129 in words is "four trillion, one hundred fourteen billion, forty-two million, three hundred fourteen thousand, one hundred twenty-nine".