323343414400 has 192 divisors, whose sum is σ = 821942738280. Its totient is φ = 125597122560.

The previous prime is 323343414391. The next prime is 323343414439. The reversal of 323343414400 is 4414343323.

It can be written as a sum of positive squares in 12 ways, for example, as 119754755136 + 203588659264 = 346056^2 + 451208^2 .

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, 68314434 + ... + 68319166.

Almost surely, 2^323343414400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323343414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410971369140).

323343414400 is an abundant number, since it is smaller than the sum of its proper divisors (498599323880).

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

323343414400 is a wasteful number, since it uses less digits than its factorization.

323343414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5371 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 323343414400 its reverse (4414343323), we get a palindrome (327757757723).

The spelling of 323343414400 in words is "three hundred twenty-three billion, three hundred forty-three million, four hundred fourteen thousand, four hundred".