204017067144 has 576 divisors, whose sum is σ = 669247488000. Its totient is φ = 58019068800.

The previous prime is 204017067143. The next prime is 204017067157. The reversal of 204017067144 is 441760710402.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 204017067099 and 204017067108.

It is not an unprimeable number, because it can be changed into a prime (204017067143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 853627777 + ... + 853628015.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888000).

Almost surely, 2^204017067144 is an apocalyptic number.

204017067144 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 204017067144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334623744000).

204017067144 is an abundant number, since it is smaller than the sum of its proper divisors (465230420856).

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

204017067144 is a wasteful number, since it uses less digits than its factorization.

204017067144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 204017067144 its reverse (441760710402), we get a palindrome (645777777546).

The spelling of 204017067144 in words is "two hundred four billion, seventeen million, sixty-seven thousand, one hundred forty-four".