200032240240000 has 320 divisors, whose sum is σ = 569883587502240. Its totient is φ = 68488777728000.

The previous prime is 200032240239973. The next prime is 200032240240031. The reversal of 200032240240000 is 42042230002.

200032240240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 200032240240000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 410236344 + ... + 410723656.

Almost surely, 2^{200032240240000} is an apocalyptic number.

200032240240000 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 200032240240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284941793751120).

200032240240000 is an abundant number, since it is smaller than the sum of its proper divisors (369851347262240).

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

200032240240000 is an frugal number, since it uses more digits than its factorization.

200032240240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488087 (or 488060 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 200032240240000 its reverse (42042230002), we get a palindrome (200074282470002).

The spelling of 200032240240000 in words is "two hundred trillion, thirty-two billion, two hundred forty million, two hundred forty thousand".