321243420314432 has 224 divisors, whose sum is σ = 804818804944896. Its totient is φ = 123586357248000.

The previous prime is 321243420314353. The next prime is 321243420314459. The reversal of 321243420314432 is 234413024342123.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122976848 + ... + 125561904.

It is an arithmetic number, because the mean of its divisors is an integer number (3592941093504).

Almost surely, 2^{321243420314432} is an apocalyptic number.

321243420314432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321243420314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402409402472448).

321243420314432 is an abundant number, since it is smaller than the sum of its proper divisors (483575384630464).

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

321243420314432 is a wasteful number, since it uses less digits than its factorization.

321243420314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585405 (or 2585395 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 321243420314432 its reverse (234413024342123), we get a palindrome (555656444656555).

The spelling of 321243420314432 in words is "three hundred twenty-one trillion, two hundred forty-three billion, four hundred twenty million, three hundred fourteen thousand, four hundred thirty-two".