3114441025680 has 320 divisors, whose sum is σ = 10288081520640. Its totient is φ = 777148121088.

The previous prime is 3114441025667. The next prime is 3114441025769. The reversal of 3114441025680 is 865201444113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231326629 + ... + 231340091.

It is an arithmetic number, because the mean of its divisors is an integer number (32150254752).

Almost surely, 2^{3114441025680} is an apocalyptic number.

3114441025680 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 3114441025680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144040760320).

3114441025680 is an abundant number, since it is smaller than the sum of its proper divisors (7173640494960).

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

3114441025680 is a wasteful number, since it uses less digits than its factorization.

3114441025680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14118 (or 14112 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

Adding to 3114441025680 its reverse (865201444113), we get a palindrome (3979642469793).

The spelling of 3114441025680 in words is "three trillion, one hundred fourteen billion, four hundred forty-one million, twenty-five thousand, six hundred eighty".