204014130441000 has 512 divisors, whose sum is σ = 713366087616000. Its totient is φ = 48113310720000.

The previous prime is 204014130440921. The next prime is 204014130441007. The reversal of 204014130441000 is 144031410402.

204014130441000 is digitally balanced in base 2 and base 3, because in such bases 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 not an unprimeable number, because it can be changed into a prime (204014130441007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 471980974 + ... + 472413026.

It is an arithmetic number, because the mean of its divisors is an integer number (1393293139875).

Almost surely, 2^{204014130441000} is an apocalyptic number.

204014130441000 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 204014130441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356683043808000).

204014130441000 is an abundant number, since it is smaller than the sum of its proper divisors (509351957175000).

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

204014130441000 is a wasteful number, since it uses less digits than its factorization.

204014130441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432478 (or 432464 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 204014130441000 its reverse (144031410402), we get a palindrome (204158161851402).

The spelling of 204014130441000 in words is "two hundred four trillion, fourteen billion, one hundred thirty million, four hundred forty-one thousand".