4331344114314 has 512 divisors, whose sum is σ = 11827648512000. Its totient is φ = 1148454236160.

The previous prime is 4331344114217. The next prime is 4331344114327. The reversal of 4331344114314 is 4134114431334.

4331344114314 is a `hidden beast` number, since 4 + 331 + 3 + 4 + 4 + 1 + 1 + 4 + 314 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15414035854 + ... + 15414036134.

It is an arithmetic number, because the mean of its divisors is an integer number (23100876000).

Almost surely, 2^{4331344114314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4331344114314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913824256000).

4331344114314 is an abundant number, since it is smaller than the sum of its proper divisors (7496304397686).

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

4331344114314 is a wasteful number, since it uses less digits than its factorization.

4331344114314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 4331344114314 its reverse (4134114431334), we get a palindrome (8465458545648).

The spelling of 4331344114314 in words is "four trillion, three hundred thirty-one billion, three hundred forty-four million, one hundred fourteen thousand, three hundred fourteen".