204321223234040 has 128 divisors (see below), whose sum is σ = 513418679262720. Its totient is φ = 72536841484800.

The previous prime is 204321223233949. The next prime is 204321223234123. The reversal of 204321223234040 is 40432322123402.

It is a super-2 number, since 2×204321223234040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204321223233988 and 204321223234006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37985717 + ... + 43029723.

It is an arithmetic number, because the mean of its divisors is an integer number (4011083431740).

Almost surely, 2^{204321223234040} is an apocalyptic number.

204321223234040 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 204321223234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256709339631360).

204321223234040 is an abundant number, since it is smaller than the sum of its proper divisors (309097456028680).

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

204321223234040 is a wasteful number, since it uses less digits than its factorization.

204321223234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046213 (or 5046209 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 204321223234040 its reverse (40432322123402), we get a palindrome (244753545357442).

It can be divided in two parts, 2043212 and 23234040, that added together give a palindrome (25277252).

The spelling of 204321223234040 in words is "two hundred four trillion, three hundred twenty-one billion, two hundred twenty-three million, two hundred thirty-four thousand, forty".