204241142000000 has 896 divisors, whose sum is σ = 615338998560000. Its totient is φ = 66032870400000.

The previous prime is 204241141999997. The next prime is 204241142000023. The reversal of 204241142000000 is 241142402.

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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17457994151 + ... + 17458005849.

Almost surely, 2^{204241142000000} is an apocalyptic number.

204241142000000 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 204241142000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307669499280000).

204241142000000 is an abundant number, since it is smaller than the sum of its proper divisors (411097856560000).

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

204241142000000 is an frugal number, since it uses more digits than its factorization.

204241142000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11822 (or 11785 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 204241142000000 its reverse (241142402), we get a palindrome (204241383142402).

The spelling of 204241142000000 in words is "two hundred four trillion, two hundred forty-one billion, one hundred forty-two million", and thus it is an aban number.