4134314214 has 48 divisors (see below), whose sum is σ = 9209088720. Its totient is φ = 1339502400.

The previous prime is 4134314213. The next prime is 4134314221. The reversal of 4134314214 is 4124134314.

4134314214 is a `hidden beast` number, since 4 + 13 + 431 + 4 + 214 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134314213) 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 23 ways as a sum of consecutive naturals, for example, 815989 + ... + 821039.

It is an arithmetic number, because the mean of its divisors is an integer number (191856015).

Almost surely, 2^4134314214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134314214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604544360).

4134314214 is an abundant number, since it is smaller than the sum of its proper divisors (5074774506).

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

4134314214 is a wasteful number, since it uses less digits than its factorization.

4134314214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6322 counting only the distinct ones).

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

The square root of 4134314214 is about 64298.6330647861. The cubic root of 4134314214 is about 1604.9733550181.

Adding to 4134314214 its reverse (4124134314), we get a palindrome (8258448528).

The spelling of 4134314214 in words is "four billion, one hundred thirty-four million, three hundred fourteen thousand, two hundred fourteen".