314014400000 has 720 divisors, whose sum is σ = 954589714848. Its totient is φ = 101038080000.

The previous prime is 314014399999. The next prime is 314014400003. The reversal of 314014400000 is 4410413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314014400003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5924799974 + ... + 5924800026.

Almost surely, 2^314014400000 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 314014400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477294857424).

314014400000 is an abundant number, since it is smaller than the sum of its proper divisors (640575314848).

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

314014400000 is an frugal number, since it uses more digits than its factorization.

314014400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 314014400000 its reverse (4410413), we get a palindrome (314018810413).

The spelling of 314014400000 in words is "three hundred fourteen billion, fourteen million, four hundred thousand".