204040105344 has 96 divisors (see below), whose sum is σ = 612674852400. Its totient is φ = 65056257024.

The previous prime is 204040105327. The next prime is 204040105349. The reversal of 204040105344 is 443501040402.

It is a happy number.

204040105344 is a `hidden beast` number, since 204 + 0 + 401 + 0 + 53 + 4 + 4 = 666.

204040105344 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204040105349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3823899 + ... + 3876890.

Almost surely, 2^204040105344 is an apocalyptic number.

204040105344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204040105344 is an abundant number, since it is smaller than the sum of its proper divisors (408634747056).

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

204040105344 is a wasteful number, since it uses less digits than its factorization.

204040105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700832 (or 7700817 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 204040105344 its reverse (443501040402), we get a palindrome (647541145746).

The spelling of 204040105344 in words is "two hundred four billion, forty million, one hundred five thousand, three hundred forty-four".