4134114314 has 48 divisors (see below), whose sum is σ = 7072115400. Its totient is φ = 1808970240.

The previous prime is 4134114289. The next prime is 4134114317.

It is a happy number.

4134114314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4133847025 + 267289 = 64295^2 + 517^2 .

It is a super-2 number, since 2×4134114314² = 34181802322439381192, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4134114317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3206582 + ... + 3207870.

Almost surely, 2^4134114314 is an apocalyptic number.

4134114314 is a deficient number, since it is larger than the sum of its proper divisors (2938001086).

4134114314 is a wasteful number, since it uses less digits than its factorization.

4134114314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1788 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 4134114314 is about 64297.0785806012. The cubic root of 4134114314 is about 1604.9474870161.

It can be divided in two parts, 41341 and 14314, that added together give a palindrome (55655).

The spelling of 4134114314 in words is "four billion, one hundred thirty-four million, one hundred fourteen thousand, three hundred fourteen".