204104441133120 has 896 divisors, whose sum is σ = 715710630868992. Its totient is φ = 48871504281600.

The previous prime is 204104441133107. The next prime is 204104441133269. The reversal of 204104441133120 is 21331144401402.

It is a happy number.

It is a super-4 number, since 4×204104441133120⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 215527392487 + ... + 215527393433.

Almost surely, 2^{204104441133120} is an apocalyptic number.

204104441133120 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 204104441133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357855315434496).

204104441133120 is an abundant number, since it is smaller than the sum of its proper divisors (511606189735872).

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

204104441133120 is a wasteful number, since it uses less digits than its factorization.

204104441133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 204104441133120 its reverse (21331144401402), we get a palindrome (225435585534522).

The spelling of 204104441133120 in words is "two hundred four trillion, one hundred four billion, four hundred forty-one million, one hundred thirty-three thousand, one hundred twenty".