314240000300320 has 96 divisors (see below), whose sum is σ = 756497042058240. Its totient is φ = 123308457292800.

The previous prime is 314240000300279. The next prime is 314240000300321. The reversal of 314240000300320 is 23003000042413.

It is a happy number.

It is a super-2 number, since 2×314240000300320² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314240000300291 and 314240000300300.

It is not an unprimeable number, because it can be changed into a prime (314240000300321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63408345 + ... + 68184295.

It is an arithmetic number, because the mean of its divisors is an integer number (7880177521440).

Almost surely, 2^{314240000300320} 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 314240000300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378248521029120).

314240000300320 is an abundant number, since it is smaller than the sum of its proper divisors (442257041757920).

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

314240000300320 is a wasteful number, since it uses less digits than its factorization.

314240000300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783778 (or 4783770 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 314240000300320 its reverse (23003000042413), we get a palindrome (337243000342733).

The spelling of 314240000300320 in words is "three hundred fourteen trillion, two hundred forty billion, three hundred thousand, three hundred twenty".