321321401404014 has 96 divisors (see below), whose sum is σ = 737132262209280. Its totient is φ = 93131041717120.

The previous prime is 321321401403983. The next prime is 321321401404049. The reversal of 321321401404014 is 410404104123123.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281442829 + ... + 282582215.

It is an arithmetic number, because the mean of its divisors is an integer number (7678461064680).

Almost surely, 2^{321321401404014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321321401404014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368566131104640).

321321401404014 is an abundant number, since it is smaller than the sum of its proper divisors (415810860805266).

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

321321401404014 is a wasteful number, since it uses less digits than its factorization.

321321401404014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156326 (or 1156315 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 321321401404014 its reverse (410404104123123), we get a palindrome (731725505527137).

The spelling of 321321401404014 in words is "three hundred twenty-one trillion, three hundred twenty-one billion, four hundred one million, four hundred four thousand, fourteen".