204042240000 has 960 divisors, whose sum is σ = 782483181480. Its totient is φ = 53084160000.

The previous prime is 204042239987. The next prime is 204042240001. The reversal of 204042240000 is 42240402.

204042240000 is a `hidden beast` number, since 20 + 404 + 2 + 240 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 9840 × 2160 × 9600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204042240001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4976639980 + ... + 4976640020.

Almost surely, 2^204042240000 is an apocalyptic number.

204042240000 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 204042240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391241590740).

204042240000 is an abundant number, since it is smaller than the sum of its proper divisors (578440941480).

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

204042240000 is an frugal number, since it uses more digits than its factorization.

204042240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 204042240000 its reverse (42240402), we get a palindrome (204084480402).

The spelling of 204042240000 in words is "two hundred four billion, forty-two million, two hundred forty thousand".