314243214400 has 42 divisors (see below), whose sum is σ = 773234713370. Its totient is φ = 125697285120.

The previous prime is 314243214359. The next prime is 314243214427. The reversal of 314243214400 is 4412342413.

It can be written as a sum of positive squares in 3 ways, for example, as 61250310144 + 252992904256 = 247488^2 + 502984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98199405 + ... + 98202604.

Almost surely, 2^314243214400 is an apocalyptic number.

It is an amenable number.

314243214400 is an abundant number, since it is smaller than the sum of its proper divisors (458991498970).

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

314243214400 is a wasteful number, since it uses less digits than its factorization.

314243214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196402031 (or 196402016 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 314243214400 its reverse (4412342413), we get a palindrome (318655556813).

The spelling of 314243214400 in words is "three hundred fourteen billion, two hundred forty-three million, two hundred fourteen thousand, four hundred".