314242144000 has 288 divisors, whose sum is σ = 857489068800. Its totient is φ = 114217779200.

The previous prime is 314242143973. The next prime is 314242144031. The reversal of 314242144000 is 441242413.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15766041 + ... + 15785959.

It is an arithmetic number, because the mean of its divisors is an integer number (2977392600).

Almost surely, 2^314242144000 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 314242144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428744534400).

314242144000 is an abundant number, since it is smaller than the sum of its proper divisors (543246924800).

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

314242144000 is a wasteful number, since it uses less digits than its factorization.

314242144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19996 (or 19972 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 314242144000 its reverse (441242413), we get a palindrome (314683386413).

The spelling of 314242144000 in words is "three hundred fourteen billion, two hundred forty-two million, one hundred forty-four thousand".