42320200200 has 96 divisors (see below), whose sum is σ = 131770985760. Its totient is φ = 11235635200.

The previous prime is 42320200187. The next prime is 42320200207. The reversal of 42320200200 is 200202324.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42320200200.

It is not an unprimeable number, because it can be changed into a prime (42320200207) 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, 19161 + ... + 291560.

It is an arithmetic number, because the mean of its divisors is an integer number (1372614435).

Almost surely, 2^42320200200 is an apocalyptic number.

42320200200 is a gapful number since it is divisible by the number (40) 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 42320200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65885492880).

42320200200 is an abundant number, since it is smaller than the sum of its proper divisors (89450785560).

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

42320200200 is a wasteful number, since it uses less digits than its factorization.

42320200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310967 (or 310958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 42320200200 its reverse (200202324), we get a palindrome (42520402524).

The spelling of 42320200200 in words is "forty-two billion, three hundred twenty million, two hundred thousand, two hundred".