4114334114 has 32 divisors (see below), whose sum is σ = 6800068800. Its totient is φ = 1851474240.

The previous prime is 4114334113. The next prime is 4114334117.

It is a happy number.

4114334114 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×4114334114⁴ (a number of 40 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4114334111) 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 15 ways as a sum of consecutive naturals, for example, 1212332 + ... + 1215720.

It is an arithmetic number, because the mean of its divisors is an integer number (212502150).

Almost surely, 2^4114334114 is an apocalyptic number.

4114334114 is a deficient number, since it is larger than the sum of its proper divisors (2685734686).

4114334114 is a wasteful number, since it uses less digits than its factorization.

4114334114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938.

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

The square root of 4114334114 is about 64143.0753394316. The cubic root of 4114334114 is about 1602.3837013933.

It can be divided in two parts, 41143 and 34114, that added together give a palindrome (75257).

The spelling of 4114334114 in words is "four billion, one hundred fourteen million, three hundred thirty-four thousand, one hundred fourteen".