200132442000 has 240 divisors, whose sum is σ = 704507860992. Its totient is φ = 52947820800.

The previous prime is 200132441989. The next prime is 200132442001. The reversal of 200132442000 is 244231002.

200132442000 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 (240).

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 (200132442001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2242227 + ... + 2329773.

Almost surely, 2^200132442000 is an apocalyptic number.

200132442000 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 200132442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352253930496).

200132442000 is an abundant number, since it is smaller than the sum of its proper divisors (504375418992).

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

200132442000 is a wasteful number, since it uses less digits than its factorization.

200132442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87703 (or 87684 counting only the distinct ones).

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

Adding to 200132442000 its reverse (244231002), we get a palindrome (200376673002).

The spelling of 200132442000 in words is "two hundred billion, one hundred thirty-two million, four hundred forty-two thousand".