320423120402400 has 864 divisors, whose sum is σ = 1268325942444288. Its totient is φ = 75722298163200.

The previous prime is 320423120402299. The next prime is 320423120402419. The reversal of 320423120402400 is 4204021324023.

320423120402400 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 231 + 20 + 4 + 0 + 2 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139251634 + ... + 141533966.

It is an arithmetic number, because the mean of its divisors is an integer number (1467969840792).

Almost surely, 2^{320423120402400} is an apocalyptic number.

320423120402400 is a gapful number since it is divisible by the number (30) 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 320423120402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634162971222144).

320423120402400 is an abundant number, since it is smaller than the sum of its proper divisors (947902822041888).

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

320423120402400 is a wasteful number, since it uses less digits than its factorization.

320423120402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282444 (or 2282428 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 320423120402400 its reverse (4204021324023), we get a palindrome (324627141726423).

The spelling of 320423120402400 in words is "three hundred twenty trillion, four hundred twenty-three billion, one hundred twenty million, four hundred two thousand, four hundred".