201432042200 has 96 divisors (see below), whose sum is σ = 471586959360. Its totient is φ = 80013225600.

The previous prime is 201432042193. The next prime is 201432042209. The reversal of 201432042200 is 2240234102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201432042209) 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, 68817137 + ... + 68820063.

It is an arithmetic number, because the mean of its divisors is an integer number (4912364160).

Almost surely, 2^201432042200 is an apocalyptic number.

201432042200 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 201432042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235793479680).

201432042200 is an abundant number, since it is smaller than the sum of its proper divisors (270154917160).

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

201432042200 is a wasteful number, since it uses less digits than its factorization.

201432042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 201432042200 its reverse (2240234102), we get a palindrome (203672276302).

The spelling of 201432042200 in words is "two hundred one billion, four hundred thirty-two million, forty-two thousand, two hundred".