33042040200 has 144 divisors (see below), whose sum is σ = 119502130020. Its totient is φ = 8133419520.

The previous prime is 33042040159. The next prime is 33042040211. The reversal of 33042040200 is 204024033.

33042040200 is a `hidden beast` number, since 3 + 3 + 0 + 420 + 40 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3848217156 + 29193823044 = 62034^2 + 170862^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 682627 + ... + 729426.

Almost surely, 2^33042040200 is an apocalyptic number.

33042040200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33042040200 is an abundant number, since it is smaller than the sum of its proper divisors (86460089820).

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

33042040200 is a wasteful number, since it uses less digits than its factorization.

33042040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412088 (or 1412076 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 33042040200 its reverse (204024033), we get a palindrome (33246064233).

The spelling of 33042040200 in words is "thirty-three billion, forty-two million, forty thousand, two hundred".