204014203404000 has 768 divisors, whose sum is σ = 746659918577664. Its totient is φ = 48273256704000.

The previous prime is 204014203403981. The next prime is 204014203404013. The reversal of 204014203404000 is 404302410402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2276823199 + ... + 2276912801.

It is an arithmetic number, because the mean of its divisors is an integer number (972213435648).

Almost surely, 2^{204014203404000} is an apocalyptic number.

204014203404000 is a gapful number since it is divisible by the number (20) 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 204014203404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373329959288832).

204014203404000 is an abundant number, since it is smaller than the sum of its proper divisors (542645715173664).

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

204014203404000 is a wasteful number, since it uses less digits than its factorization.

204014203404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90056 (or 90038 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204014203404000 its reverse (404302410402), we get a palindrome (204418505814402).

The spelling of 204014203404000 in words is "two hundred four trillion, fourteen billion, two hundred three million, four hundred four thousand".