204421117824 has 896 divisors, whose sum is σ = 794993287680. Its totient is φ = 50746798080.

The previous prime is 204421117807. The next prime is 204421117837. The reversal of 204421117824 is 428711124402.

It is a happy number.

204421117824 is a `hidden beast` number, since 20 + 442 + 1 + 1 + 178 + 24 = 666.

204421117824 is digitally balanced in base 2, because in such base 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 (896).

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

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 165254934 + ... + 165256170.

Almost surely, 2^204421117824 is an apocalyptic number.

204421117824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204421117824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397496643840).

204421117824 is an abundant number, since it is smaller than the sum of its proper divisors (590572169856).

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

204421117824 is a wasteful number, since it uses less digits than its factorization.

204421117824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 204421117824 in words is "two hundred four billion, four hundred twenty-one million, one hundred seventeen thousand, eight hundred twenty-four".