323400202400000 has 432 divisors, whose sum is σ = 883360772292096. Its totient is φ = 117180672000000.

The previous prime is 323400202399993. The next prime is 323400202400027. The reversal of 323400202400000 is 4202004323.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2472734609 + ... + 2472865391.

It is an arithmetic number, because the mean of its divisors is an integer number (2044816602528).

Almost surely, 2^{323400202400000} 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 323400202400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441680386146048).

323400202400000 is an abundant number, since it is smaller than the sum of its proper divisors (559960569892096).

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

323400202400000 is an equidigital number, since it uses as much as digits as its factorization.

323400202400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131116 (or 131082 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 323400202400000 its reverse (4202004323), we get a palindrome (323404404404323).

The spelling of 323400202400000 in words is "three hundred twenty-three trillion, four hundred billion, two hundred two million, four hundred thousand".