204044141400000 has 672 divisors, whose sum is σ = 742891021931520. Its totient is φ = 49011264000000.

The previous prime is 204044141399953. The next prime is 204044141400013. The reversal of 204044141400000 is 4141440402.

It is a happy number.

204044141400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 719258185 + ... + 719541815.

It is an arithmetic number, because the mean of its divisors is an integer number (1105492592160).

Almost surely, 2^{204044141400000} is an apocalyptic number.

204044141400000 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 204044141400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371445510965760).

204044141400000 is an abundant number, since it is smaller than the sum of its proper divisors (538846880531520).

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

204044141400000 is a wasteful number, since it uses less digits than its factorization.

204044141400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283791 (or 283761 counting only the distinct ones).

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

Adding to 204044141400000 its reverse (4141440402), we get a palindrome (204048282840402).

The spelling of 204044141400000 in words is "two hundred four trillion, forty-four billion, one hundred forty-one million, four hundred thousand".