214340413200 has 240 divisors, whose sum is σ = 758602267776. Its totient is φ = 51456204800.

The previous prime is 214340413159. The next prime is 214340413219. The reversal of 214340413200 is 2314043412.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240790 + ... + 697610.

Almost surely, 2^214340413200 is an apocalyptic number.

214340413200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214340413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379301133888).

214340413200 is an abundant number, since it is smaller than the sum of its proper divisors (544261854576).

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

214340413200 is a wasteful number, since it uses less digits than its factorization.

214340413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456882 (or 456871 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214340413200 its reverse (2314043412), we get a palindrome (216654456612).

The spelling of 214340413200 in words is "two hundred fourteen billion, three hundred forty million, four hundred thirteen thousand, two hundred".