4331346431334 has 192 divisors, whose sum is σ = 9944892163584. Its totient is φ = 1247759935488.

The previous prime is 4331346431309. The next prime is 4331346431351.

4331346431334 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1309749309 + ... + 1309752615.

It is an arithmetic number, because the mean of its divisors is an integer number (51796313352).

Almost surely, 2^{4331346431334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4331346431334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972446081792).

4331346431334 is an abundant number, since it is smaller than the sum of its proper divisors (5613545732250).

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

4331346431334 is a wasteful number, since it uses less digits than its factorization.

4331346431334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3558 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 42.

The spelling of 4331346431334 in words is "four trillion, three hundred thirty-one billion, three hundred forty-six million, four hundred thirty-one thousand, three hundred thirty-four".