200442332000 has 144 divisors (see below), whose sum is σ = 514835691552. Its totient is φ = 76690169600.

The previous prime is 200442331909. The next prime is 200442332003. The reversal of 200442332000 is 233244002.

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 (200442332003) 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, 2068637 + ... + 2163363.

It is an arithmetic number, because the mean of its divisors is an integer number (3575247858).

Almost surely, 2^200442332000 is an apocalyptic number.

200442332000 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 200442332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257417845776).

200442332000 is an abundant number, since it is smaller than the sum of its proper divisors (314393359552).

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

200442332000 is an equidigital number, since it uses as much as digits as its factorization.

200442332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94798 (or 94757 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 200442332000 its reverse (233244002), we get a palindrome (200675576002).

The spelling of 200442332000 in words is "two hundred billion, four hundred forty-two million, three hundred thirty-two thousand".