314213354400 has 144 divisors (see below), whose sum is σ = 1115743150368. Its totient is φ = 76172928000.

The previous prime is 314213354383. The next prime is 314213354443. The reversal of 314213354400 is 4453312413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5924611 + ... + 5977410.

It is an arithmetic number, because the mean of its divisors is an integer number (7748216322).

Almost surely, 2^314213354400 is an apocalyptic number.

314213354400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314213354400 is an abundant number, since it is smaller than the sum of its proper divisors (801529795968).

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

314213354400 is a wasteful number, since it uses less digits than its factorization.

314213354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11902055 (or 11902042 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 314213354400 its reverse (4453312413), we get a palindrome (318666666813).

The spelling of 314213354400 in words is "three hundred fourteen billion, two hundred thirteen million, three hundred fifty-four thousand, four hundred".