321440114340312 has 128 divisors (see below), whose sum is σ = 879152200657920. Its totient is φ = 97128854784000.

The previous prime is 321440114340263. The next prime is 321440114340329. The reversal of 321440114340312 is 213043411044123.

It is a happy number.

It is a super-2 number, since 2×321440114340312² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 211979137 + ... + 213490127.

It is an arithmetic number, because the mean of its divisors is an integer number (6868376567640).

Almost surely, 2^{321440114340312} 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 321440114340312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439576100328960).

321440114340312 is an abundant number, since it is smaller than the sum of its proper divisors (557712086317608).

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

321440114340312 is a wasteful number, since it uses less digits than its factorization.

321440114340312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513305 (or 1513301 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 321440114340312 its reverse (213043411044123), we get a palindrome (534483525384435).

The spelling of 321440114340312 in words is "three hundred twenty-one trillion, four hundred forty billion, one hundred fourteen million, three hundred forty thousand, three hundred twelve".