3114342440000 has 560 divisors, whose sum is σ = 8899692436800. Its totient is φ = 1069056000000.

The previous prime is 3114342439979. The next prime is 3114342440003. The reversal of 3114342440000 is 442434113.

It is not an unprimeable number, because it can be changed into a prime (3114342440003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3352359536 + ... + 3352360464.

Almost surely, 2^{3114342440000} 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 3114342440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449846218400).

3114342440000 is an abundant number, since it is smaller than the sum of its proper divisors (5785349996800).

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

3114342440000 is a wasteful number, since it uses less digits than its factorization.

3114342440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 3114342440000 its reverse (442434113), we get a palindrome (3114784874113).

The spelling of 3114342440000 in words is "three trillion, one hundred fourteen billion, three hundred forty-two million, four hundred forty thousand".