321444432342 has 192 divisors, whose sum is σ = 837625501440. Its totient is φ = 91364112000.

The previous prime is 321444432307. The next prime is 321444432343. The reversal of 321444432342 is 243234444123.

321444432342 is a `hidden beast` number, since 3 + 214 + 4 + 4 + 432 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 321444432297 and 321444432306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321444432343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10243308 + ... + 10274640.

It is an arithmetic number, because the mean of its divisors is an integer number (4362632820).

Almost surely, 2^321444432342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321444432342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418812750720).

321444432342 is an abundant number, since it is smaller than the sum of its proper divisors (516181069098).

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

321444432342 is a wasteful number, since it uses less digits than its factorization.

321444432342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31481 (or 31469 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 321444432342 its reverse (243234444123), we get a palindrome (564678876465).

It can be divided in two parts, 3214 and 44432342, that added together give a square (44435556 = 6666²).

The spelling of 321444432342 in words is "three hundred twenty-one billion, four hundred forty-four million, four hundred thirty-two thousand, three hundred forty-two".