214301310400 has 84 divisors (see below), whose sum is σ = 536252943240. Its totient is φ = 84267596800.

The previous prime is 214301310347. The next prime is 214301310427. The reversal of 214301310400 is 4013103412.

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, 1040671 + ... + 1229470.

It is an arithmetic number, because the mean of its divisors is an integer number (6383963610).

Almost surely, 2^214301310400 is an apocalyptic number.

214301310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214301310400 is an abundant number, since it is smaller than the sum of its proper divisors (321951632840).

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

214301310400 is a wasteful number, since it uses less digits than its factorization.

214301310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270222 (or 2270207 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 214301310400 its reverse (4013103412), we get a palindrome (218314413812).

The spelling of 214301310400 in words is "two hundred fourteen billion, three hundred one million, three hundred ten thousand, four hundred".