3114929460240 has 480 divisors, whose sum is σ = 11995096014720. Its totient is φ = 717610696704.

The previous prime is 3114929460169. The next prime is 3114929460263. The reversal of 3114929460240 is 420649294113.

3114929460240 is a `hidden beast` number, since 3 + 1 + 14 + 9 + 29 + 4 + 602 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 28427799 + ... + 28537161.

It is an arithmetic number, because the mean of its divisors is an integer number (24989783364).

Almost surely, 2^{3114929460240} is an apocalyptic number.

3114929460240 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 3114929460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997548007360).

3114929460240 is an abundant number, since it is smaller than the sum of its proper divisors (8880166554480).

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

3114929460240 is a wasteful number, since it uses less digits than its factorization.

3114929460240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109591 (or 109582 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 3114929460240 in words is "three trillion, one hundred fourteen billion, nine hundred twenty-nine million, four hundred sixty thousand, two hundred forty".