3129966265440 has 576 divisors, whose sum is σ = 11543945527296. Its totient is φ = 712848525312.

The previous prime is 3129966265429. The next prime is 3129966265453. The reversal of 3129966265440 is 445626699213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3089798374 + ... + 3089799386.

It is an arithmetic number, because the mean of its divisors is an integer number (20041572096).

Almost surely, 2^{3129966265440} is an apocalyptic number.

3129966265440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3129966265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771972763648).

3129966265440 is an abundant number, since it is smaller than the sum of its proper divisors (8413979261856).

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

3129966265440 is an equidigital number, since it uses as much as digits as its factorization.

3129966265440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 3129966265440 in words is "three trillion, one hundred twenty-nine billion, nine hundred sixty-six million, two hundred sixty-five thousand, four hundred forty".