214002034200 has 72 divisors (see below), whose sum is σ = 718690170900. Its totient is φ = 57067208640.

The previous prime is 214002034193. The next prime is 214002034217. The reversal of 214002034200 is 2430200412.

214002034200 is a `hidden beast` number, since 2 + 1 + 40 + 0 + 203 + 420 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59443210 + ... + 59446809.

Almost surely, 2^214002034200 is an apocalyptic number.

214002034200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214002034200 is an abundant number, since it is smaller than the sum of its proper divisors (504688136700).

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

214002034200 is a wasteful number, since it uses less digits than its factorization.

214002034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118890041 (or 118890029 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 214002034200 its reverse (2430200412), we get a palindrome (216432234612).

The spelling of 214002034200 in words is "two hundred fourteen billion, two million, thirty-four thousand, two hundred".