321204411411400 has 768 divisors, whose sum is σ = 885030354432000. Its totient is φ = 107185868697600.

The previous prime is 321204411411391. The next prime is 321204411411407. The reversal of 321204411411400 is 4114114402123.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (321204411411407) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 180148294909 + ... + 180148296691.

It is an arithmetic number, because the mean of its divisors is an integer number (1152383274000).

Almost surely, 2^{321204411411400} 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 321204411411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442515177216000).

321204411411400 is an abundant number, since it is smaller than the sum of its proper divisors (563825943020600).

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

321204411411400 is a wasteful number, since it uses less digits than its factorization.

321204411411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 321204411411400 its reverse (4114114402123), we get a palindrome (325318525813523).

The spelling of 321204411411400 in words is "three hundred twenty-one trillion, two hundred four billion, four hundred eleven million, four hundred eleven thousand, four hundred".