204121332342144 has 192 divisors, whose sum is σ = 683957767652640. Its totient is φ = 57219996008448.

The previous prime is 204121332342139. The next prime is 204121332342173. The reversal of 204121332342144 is 441243233121402.

204121332342144 is a `hidden beast` number, since 2 + 0 + 41 + 2 + 133 + 2 + 342 + 144 = 666.

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

It is a super-3 number, since 3×204121332342144³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204121332342099 and 204121332342108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238371337 + ... + 239226120.

Almost surely, 2^{204121332342144} is an apocalyptic number.

204121332342144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204121332342144 is an abundant number, since it is smaller than the sum of its proper divisors (479836435310496).

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

204121332342144 is a wasteful number, since it uses less digits than its factorization.

204121332342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477597537 (or 477597522 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 204121332342144 its reverse (441243233121402), we get a palindrome (645364565463546).

The spelling of 204121332342144 in words is "two hundred four trillion, one hundred twenty-one billion, three hundred thirty-two million, three hundred forty-two thousand, one hundred forty-four".