442133120200 has 48 divisors (see below), whose sum is σ = 1088427718980. Its totient is φ = 166450114560.

The previous prime is 442133120189. The next prime is 442133120213. The reversal of 442133120200 is 2021331244.

It can be written as a sum of positive squares in 6 ways, for example, as 83890171044 + 358242949156 = 289638^2 + 598534^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65016177 + ... + 65022976.

Almost surely, 2^442133120200 is an apocalyptic number.

442133120200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442133120200 is an abundant number, since it is smaller than the sum of its proper divisors (646294598780).

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

442133120200 is a wasteful number, since it uses less digits than its factorization.

442133120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130039186 (or 130039177 counting only the distinct ones).

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

Adding to 442133120200 its reverse (2021331244), we get a palindrome (444154451444).

The spelling of 442133120200 in words is "four hundred forty-two billion, one hundred thirty-three million, one hundred twenty thousand, two hundred".