321440422121312 has 192 divisors, whose sum is σ = 704105706737664. Its totient is φ = 143512916520960.

The previous prime is 321440422121267. The next prime is 321440422121353. The reversal of 321440422121312 is 213121224044123.

It is a super-3 number, since 3×321440422121312³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 775362788 + ... + 775777244.

It is an arithmetic number, because the mean of its divisors is an integer number (3667217222592).

Almost surely, 2^{321440422121312} is an apocalyptic number.

321440422121312 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 321440422121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352052853368832).

321440422121312 is an abundant number, since it is smaller than the sum of its proper divisors (382665284616352).

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

321440422121312 is a wasteful number, since it uses less digits than its factorization.

321440422121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414941 (or 414933 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 321440422121312 its reverse (213121224044123), we get a palindrome (534561646165435).

The spelling of 321440422121312 in words is "three hundred twenty-one trillion, four hundred forty billion, four hundred twenty-two million, one hundred twenty-one thousand, three hundred twelve".