204240224010321 has 80 divisors (see below), whose sum is σ = 314182418764368. Its totient is φ = 132126432768000.

The previous prime is 204240224010293. The next prime is 204240224010367. The reversal of 204240224010321 is 123010422042402.

It is a happy number.

204240224010321 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 402 + 240 + 10 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 72276097356225 + 131964126654096 = 8501535^2 + 11487564^2 .

It is not a de Polignac number, because 204240224010321 - 2¹⁷ = 204240223879249 is a prime.

It is a super-2 number, since 2×204240224010321² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (204240224010371) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9101197461 + ... + 9101219901.

Almost surely, 2^{204240224010321} is an apocalyptic number.

It is an amenable number.

204240224010321 is a deficient number, since it is larger than the sum of its proper divisors (109942194754047).

204240224010321 is a wasteful number, since it uses less digits than its factorization.

204240224010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30464 (or 30455 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 204240224010321 its reverse (123010422042402), we get a palindrome (327250646052723).

The spelling of 204240224010321 in words is "two hundred four trillion, two hundred forty billion, two hundred twenty-four million, ten thousand, three hundred twenty-one".