204101044224 has 192 divisors, whose sum is σ = 678405611520. Its totient is φ = 53013135360.

The previous prime is 204101044219. The next prime is 204101044241. The reversal of 204101044224 is 422440101402.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 204101044194 and 204101044203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257377 + ... + 688799.

It is an arithmetic number, because the mean of its divisors is an integer number (3533362560).

Almost surely, 2^204101044224 is an apocalyptic number.

204101044224 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 204101044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339202805760).

204101044224 is an abundant number, since it is smaller than the sum of its proper divisors (474304567296).

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

204101044224 is a wasteful number, since it uses less digits than its factorization.

204101044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431466 (or 431446 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 204101044224 its reverse (422440101402), we get a palindrome (626541145626).

The spelling of 204101044224 in words is "two hundred four billion, one hundred one million, forty-four thousand, two hundred twenty-four".