4134112114314 has 64 divisors (see below), whose sum is σ = 10383955142400. Its totient is φ = 1090315275840.

The previous prime is 4134112114309. The next prime is 4134112114369.

4134112114314 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77234817 + ... + 77288324.

It is an arithmetic number, because the mean of its divisors is an integer number (162249299100).

Almost surely, 2^{4134112114314} is an apocalyptic number.

4134112114314 is an abundant number, since it is smaller than the sum of its proper divisors (6249843028086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4134112114314 is a wasteful number, since it uses less digits than its factorization.

4134112114314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154523180 (or 154523166 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The spelling of 4134112114314 in words is "four trillion, one hundred thirty-four billion, one hundred twelve million, one hundred fourteen thousand, three hundred fourteen".