214004434200 has 96 divisors (see below), whose sum is σ = 674658158400. Its totient is φ = 56100588160.

The previous prime is 214004434177. The next prime is 214004434207. The reversal of 214004434200 is 2434400412.

It is a happy number.

214004434200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214004434207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2987262 + ... + 3058061.

It is an arithmetic number, because the mean of its divisors is an integer number (7027689150).

Almost surely, 2^214004434200 is an apocalyptic number.

214004434200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214004434200 is an abundant number, since it is smaller than the sum of its proper divisors (460653724200).

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

214004434200 is a wasteful number, since it uses less digits than its factorization.

214004434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6045401 (or 6045392 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 214004434200 its reverse (2434400412), we get a palindrome (216438834612).

The spelling of 214004434200 in words is "two hundred fourteen billion, four million, four hundred thirty-four thousand, two hundred".