201432400200 has 144 divisors (see below), whose sum is σ = 683175554100. Its totient is φ = 53183424000.

The previous prime is 201432400193. The next prime is 201432400207. The reversal of 201432400200 is 2004234102.

201432400200 is a `hidden beast` number, since 20 + 1 + 43 + 2 + 400 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (201432400193) and next prime (201432400207).

It can be written as a sum of positive squares in 6 ways, for example, as 163447169796 + 37985230404 = 404286^2 + 194898^2 .

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

It is not an unprimeable number, because it can be changed into a prime (201432400207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372195 + ... + 735794.

Almost surely, 2^201432400200 is an apocalyptic number.

201432400200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201432400200 is an abundant number, since it is smaller than the sum of its proper divisors (481743153900).

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

201432400200 is a wasteful number, since it uses less digits than its factorization.

201432400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108112 (or 1108100 counting only the distinct ones).

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

Adding to 201432400200 its reverse (2004234102), we get a palindrome (203436634302).

The spelling of 201432400200 in words is "two hundred one billion, four hundred thirty-two million, four hundred thousand, two hundred".