4134241314 has 144 divisors (see below), whose sum is σ = 10644004800. Its totient is φ = 1135929600.

The previous prime is 4134241301. The next prime is 4134241381. The reversal of 4134241314 is 4131424314.

4134241314 is a `hidden beast` number, since 4 + 1 + 342 + 4 + 1 + 314 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27746512 + ... + 27746660.

It is an arithmetic number, because the mean of its divisors is an integer number (73916700).

Almost surely, 2^4134241314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134241314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322002400).

4134241314 is an abundant number, since it is smaller than the sum of its proper divisors (6509763486).

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

4134241314 is a wasteful number, since it uses less digits than its factorization.

4134241314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 333 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4134241314 is about 64298.0661762078. The cubic root of 4134241314 is about 1604.9639215112.

Adding to 4134241314 its reverse (4131424314), we get a palindrome (8265665628).

The spelling of 4134241314 in words is "four billion, one hundred thirty-four million, two hundred forty-one thousand, three hundred fourteen".