204240324430440 has 192 divisors, whose sum is σ = 671952693157200. Its totient is φ = 53794893926400.

The previous prime is 204240324430403. The next prime is 204240324430477. The reversal of 204240324430440 is 44034423042402.

204240324430440 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 403 + 244 + 3 + 0 + 4 + 4 + 0 = 666.

204240324430440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204240324430403) and next prime (204240324430477).

It can be written as a sum of positive squares in 8 ways, for example, as 97939564259364 + 106300760171076 = 9896442^2 + 10310226^2 .

It is a super-2 number, since 2×204240324430440² (a number of 29 digits) contains 22 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 = 204240324430395 and 204240324430404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26762530 + ... + 33536750.

Almost surely, 2^{204240324430440} is an apocalyptic number.

204240324430440 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 204240324430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335976346578600).

204240324430440 is an abundant number, since it is smaller than the sum of its proper divisors (467712368726760).

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

204240324430440 is a wasteful number, since it uses less digits than its factorization.

204240324430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775268 (or 6775261 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 204240324430440 its reverse (44034423042402), we get a palindrome (248274747472842).

The spelling of 204240324430440 in words is "two hundred four trillion, two hundred forty billion, three hundred twenty-four million, four hundred thirty thousand, four hundred forty".