321223232400400 has 180 divisors, whose sum is σ = 842277845120400. Its totient is φ = 116755614220800.

The previous prime is 321223232400359. The next prime is 321223232400437. The reversal of 321223232400400 is 4004232322123.

It is a super-2 number, since 2×321223232400400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46560836151 + ... + 46560843049.

It is an arithmetic number, because the mean of its divisors is an integer number (4679321361780).

Almost surely, 2^{321223232400400} 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 321223232400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421138922560200).

321223232400400 is an abundant number, since it is smaller than the sum of its proper divisors (521054612720000).

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

321223232400400 is an equidigital number, since it uses as much as digits as its factorization.

321223232400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13434 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 321223232400400 its reverse (4004232322123), we get a palindrome (325227464722523).

The spelling of 321223232400400 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, two hundred thirty-two million, four hundred thousand, four hundred".