42132260200 has 96 divisors (see below), whose sum is σ = 102478440960. Its totient is φ = 16078867200.

The previous prime is 42132260179. The next prime is 42132260207. The reversal of 42132260200 is 206223124.

42132260200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42132260207) 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, 1814665 + ... + 1837735.

It is an arithmetic number, because the mean of its divisors is an integer number (1067483760).

Almost surely, 2^42132260200 is an apocalyptic number.

42132260200 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 42132260200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51239220480).

42132260200 is an abundant number, since it is smaller than the sum of its proper divisors (60346180760).

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

42132260200 is a wasteful number, since it uses less digits than its factorization.

42132260200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23507 (or 23498 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 42132260200 its reverse (206223124), we get a palindrome (42338483324).

The spelling of 42132260200 in words is "forty-two billion, one hundred thirty-two million, two hundred sixty thousand, two hundred".