204400414443121 has 8 divisors (see below), whose sum is σ = 220295092651200. Its totient is φ = 188530246150032.

The previous prime is 204400414443077. The next prime is 204400414443143. The reversal of 204400414443121 is 121344414004402.

204400414443121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 204400414443121 - 2¹³ = 204400414434929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204400414441121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6127461421 + ... + 6127494778.

It is an arithmetic number, because the mean of its divisors is an integer number (27536886581400).

Almost surely, 2^{204400414443121} is an apocalyptic number.

It is an amenable number.

204400414443121 is a deficient number, since it is larger than the sum of its proper divisors (15894678208079).

204400414443121 is a wasteful number, since it uses less digits than its factorization.

204400414443121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12254957495.

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 204400414443121 its reverse (121344414004402), we get a palindrome (325744828447523).

The spelling of 204400414443121 in words is "two hundred four trillion, four hundred billion, four hundred fourteen million, four hundred forty-three thousand, one hundred twenty-one".