321404441321322 has 128 divisors (see below), whose sum is σ = 754494907392000. Its totient is φ = 101136098992320.

The previous prime is 321404441321267. The next prime is 321404441321347. The reversal of 321404441321322 is 223123144404123.

321404441321322 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 0 + 4 + 4 + 4 + 1 + 321 + 322 = 666.

It is a super-3 number, since 3×321404441321322³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329041983 + ... + 330017325.

It is an arithmetic number, because the mean of its divisors is an integer number (5894491464000).

Almost surely, 2^{321404441321322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321404441321322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377247453696000).

321404441321322 is an abundant number, since it is smaller than the sum of its proper divisors (433090466070678).

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

321404441321322 is a wasteful number, since it uses less digits than its factorization.

321404441321322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976513 (or 976507 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 321404441321322 its reverse (223123144404123), we get a palindrome (544527585725445).

The spelling of 321404441321322 in words is "three hundred twenty-one trillion, four hundred four billion, four hundred forty-one million, three hundred twenty-one thousand, three hundred twenty-two".