3114137847240 has 768 divisors, whose sum is σ = 12648777523200. Its totient is φ = 648597196800.

The previous prime is 3114137847181. The next prime is 3114137847257. The reversal of 3114137847240 is 427487314113.

3114137847240 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 137 + 8 + 472 + 40 = 666.

It is a super-2 number, since 2×3114137847240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139367509 + ... + 139389851.

It is an arithmetic number, because the mean of its divisors is an integer number (16469762400).

Almost surely, 2^{3114137847240} is an apocalyptic number.

3114137847240 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 3114137847240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324388761600).

3114137847240 is an abundant number, since it is smaller than the sum of its proper divisors (9534639675960).

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

3114137847240 is a wasteful number, since it uses less digits than its factorization.

3114137847240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22498 (or 22491 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 3114137847240 in words is "three trillion, one hundred fourteen billion, one hundred thirty-seven million, eight hundred forty-seven thousand, two hundred forty".