4314224224134 has 96 divisors (see below), whose sum is σ = 10377627361920. Its totient is φ = 1295121767280.

The previous prime is 4314224224031. The next prime is 4314224224223.

4314224224134 is a `hidden beast` number, since 4 + 3 + 1 + 422 + 4 + 224 + 1 + 3 + 4 = 666.

4314224224134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4314224224134² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722037 + ... + 3404975.

It is an arithmetic number, because the mean of its divisors is an integer number (108100285020).

Almost surely, 2^{4314224224134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314224224134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188813680960).

4314224224134 is an abundant number, since it is smaller than the sum of its proper divisors (6063403137786).

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

4314224224134 is a wasteful number, since it uses less digits than its factorization.

4314224224134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683087 (or 1683062 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 4314224224134 in words is "four trillion, three hundred fourteen billion, two hundred twenty-four million, two hundred twenty-four thousand, one hundred thirty-four".