3114344331440 has 240 divisors, whose sum is σ = 7765593032736. Its totient is φ = 1160772096000.

The previous prime is 3114344331433. The next prime is 3114344331457. The reversal of 3114344331440 is 441334434113.

It is a super-2 number, since 2×3114344331440² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3114344331440.

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, 2146342715 + ... + 2146344165.

Almost surely, 2^{3114344331440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114344331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882796516368).

3114344331440 is an abundant number, since it is smaller than the sum of its proper divisors (4651248701296).

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

3114344331440 is a wasteful number, since it uses less digits than its factorization.

3114344331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 3114344331440 its reverse (441334434113), we get a palindrome (3555678765553).

The spelling of 3114344331440 in words is "three trillion, one hundred fourteen billion, three hundred forty-four million, three hundred thirty-one thousand, four hundred forty".