200442134443200 has 504 divisors, whose sum is σ = 712188246360816. Its totient is φ = 49333100544000.

The previous prime is 200442134443171. The next prime is 200442134443217. The reversal of 200442134443200 is 2344431244002.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9767648940 + ... + 9767669460.

Almost surely, 2^{200442134443200} is an apocalyptic number.

200442134443200 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 200442134443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356094123180408).

200442134443200 is an abundant number, since it is smaller than the sum of its proper divisors (511746111917616).

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

200442134443200 is a wasteful number, since it uses less digits than its factorization.

200442134443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32613 (or 32585 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 200442134443200 its reverse (2344431244002), we get a palindrome (202786565687202).

The spelling of 200442134443200 in words is "two hundred trillion, four hundred forty-two billion, one hundred thirty-four million, four hundred forty-three thousand, two hundred".