3130741568240 has 320 divisors, whose sum is σ = 9094221682560. Its totient is φ = 984728862720.

The previous prime is 3130741568239. The next prime is 3130741568293. The reversal of 3130741568240 is 428651470313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3130741568191 and 3130741568200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44500772 + ... + 44571068.

It is an arithmetic number, because the mean of its divisors is an integer number (28419442758).

Almost surely, 2^{3130741568240} 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 3130741568240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547110841280).

3130741568240 is an abundant number, since it is smaller than the sum of its proper divisors (5963480114320).

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

3130741568240 is a wasteful number, since it uses less digits than its factorization.

3130741568240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70580 (or 70574 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 3130741568240 in words is "three trillion, one hundred thirty billion, seven hundred forty-one million, five hundred sixty-eight thousand, two hundred forty".