8442201800 has 108 divisors (see below), whose sum is σ = 20126796345. Its totient is φ = 3293199360.

The previous prime is 8442201791. The next prime is 8442201839. The reversal of 8442201800 is 81022448.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 1315803076 + 7126398724 = 36274^2 + 84418^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=64970.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94856156 + ... + 94856244.

Almost surely, 2^8442201800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8442201800

8442201800 is an abundant number, since it is smaller than the sum of its proper divisors (11684594545).

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

8442201800 is an equidigital number, since it uses as much as digits as its factorization.

8442201800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 8442201800 is about 91881.4551473800. The cubic root of 8442201800 is about 2036.1912947816.

The spelling of 8442201800 in words is "eight billion, four hundred forty-two million, two hundred one thousand, eight hundred".