200014003200 has 1056 divisors, whose sum is σ = 804858128640. Its totient is φ = 43175116800.

The previous prime is 200014003187. The next prime is 200014003229. The reversal of 200014003200 is 2300410002.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×200014003200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272870034 + ... + 272870766.

Almost surely, 2^200014003200 is an apocalyptic number.

200014003200 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 200014003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402429064320).

200014003200 is an abundant number, since it is smaller than the sum of its proper divisors (604844125440).

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

200014003200 is a wasteful number, since it uses less digits than its factorization.

200014003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 200014003200 its reverse (2300410002), we get a palindrome (202314413202).

The spelling of 200014003200 in words is "two hundred billion, fourteen million, three thousand, two hundred".