314143330400 has 72 divisors (see below), whose sum is σ = 767011767480. Its totient is φ = 125639413760.

The previous prime is 314143330381. The next prime is 314143330411. The reversal of 314143330400 is 4033341413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 314143330400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6551312 + ... + 6599088.

It is an arithmetic number, because the mean of its divisors is an integer number (10652941215).

Almost surely, 2^314143330400 is an apocalyptic number.

It is an amenable number.

314143330400 is an abundant number, since it is smaller than the sum of its proper divisors (452868437080).

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

314143330400 is a wasteful number, since it uses less digits than its factorization.

314143330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56016 (or 56003 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 314143330400 its reverse (4033341413), we get a palindrome (318176671813).

The spelling of 314143330400 in words is "three hundred fourteen billion, one hundred forty-three million, three hundred thirty thousand, four hundred".