204066402444 has 36 divisors (see below), whose sum is σ = 518535239040. Its totient is φ = 67665995040.

The previous prime is 204066402443. The next prime is 204066402461. The reversal of 204066402444 is 444204660402.

204066402444 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 6 + 640 + 2 + 4 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×204066402444³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204066402399 and 204066402408.

It is not an unprimeable number, because it can be changed into a prime (204066402443) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14832159 + ... + 14845910.

It is an arithmetic number, because the mean of its divisors is an integer number (14403756640).

Almost surely, 2^204066402444 is an apocalyptic number.

It is an amenable number.

204066402444 is an abundant number, since it is smaller than the sum of its proper divisors (314468836596).

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

204066402444 is a wasteful number, since it uses less digits than its factorization.

204066402444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29678270 (or 29678265 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 204066402444 in words is "two hundred four billion, sixty-six million, four hundred two thousand, four hundred forty-four".