3314444030240 has 192 divisors, whose sum is σ = 9173536001280. Its totient is φ = 1108218101760.

The previous prime is 3314444030239. The next prime is 3314444030269. The reversal of 3314444030240 is 420304444133.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3314444030197 and 3314444030206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7048895 + ... + 7504385.

It is an arithmetic number, because the mean of its divisors is an integer number (47778833340).

Almost surely, 2^{3314444030240} 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 3314444030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586768000640).

3314444030240 is an abundant number, since it is smaller than the sum of its proper divisors (5859091971040).

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

3314444030240 is a wasteful number, since it uses less digits than its factorization.

3314444030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455675 (or 455667 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 3314444030240 its reverse (420304444133), we get a palindrome (3734748474373).

The spelling of 3314444030240 in words is "three trillion, three hundred fourteen billion, four hundred forty-four million, thirty thousand, two hundred forty".