42202404200 has 144 divisors (see below), whose sum is σ = 108097143840. Its totient is φ = 15311401600.

The previous prime is 42202404199. The next prime is 42202404227. The reversal of 42202404200 is 240420224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12170867 + ... + 12174333.

It is an arithmetic number, because the mean of its divisors is an integer number (750674610).

Almost surely, 2^42202404200 is an apocalyptic number.

42202404200 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 42202404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54048571920).

42202404200 is an abundant number, since it is smaller than the sum of its proper divisors (65894739640).

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

42202404200 is a wasteful number, since it uses less digits than its factorization.

42202404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42202404200 its reverse (240420224), we get a palindrome (42442824424).

The spelling of 42202404200 in words is "forty-two billion, two hundred two million, four hundred four thousand, two hundred".