442402260200 has 96 divisors (see below), whose sum is σ = 1034683061760. Its totient is φ = 175913126400.

The previous prime is 442402260197. The next prime is 442402260247. The reversal of 442402260200 is 2062204244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442402260200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72844364 + ... + 72850436.

It is an arithmetic number, because the mean of its divisors is an integer number (10777948560).

Almost surely, 2^442402260200 is an apocalyptic number.

442402260200 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 442402260200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517341530880).

442402260200 is an abundant number, since it is smaller than the sum of its proper divisors (592280801560).

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

442402260200 is a wasteful number, since it uses less digits than its factorization.

442402260200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8187 (or 8178 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 442402260200 its reverse (2062204244), we get a palindrome (444464464444).

The spelling of 442402260200 in words is "four hundred forty-two billion, four hundred two million, two hundred sixty thousand, two hundred".