200144430033120 has 144 divisors (see below), whose sum is σ = 684961148355120. Its totient is φ = 53218038515712.

The previous prime is 200144430033091. The next prime is 200144430033181. The reversal of 200144430033120 is 21330034441002.

200144430033120 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 4 + 4 + 4 + 300 + 331 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199772925 + ... + 200772284.

It is an arithmetic number, because the mean of its divisors is an integer number (4756674641355).

Almost surely, 2^{200144430033120} is an apocalyptic number.

200144430033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200144430033120 is an abundant number, since it is smaller than the sum of its proper divisors (484816718322000).

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

200144430033120 is a wasteful number, since it uses less digits than its factorization.

200144430033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400545577 (or 400545566 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 200144430033120 its reverse (21330034441002), we get a palindrome (221474464474122).

The spelling of 200144430033120 in words is "two hundred trillion, one hundred forty-four billion, four hundred thirty million, thirty-three thousand, one hundred twenty".