321414304343440 has 320 divisors, whose sum is σ = 934085894676480. Its totient is φ = 99923155200000.

The previous prime is 321414304343423. The next prime is 321414304343471. The reversal of 321414304343440 is 44343403414123.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 321414304343393 and 321414304343402.

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, 3751772926 + ... + 3751858594.

It is an arithmetic number, because the mean of its divisors is an integer number (2919018420864).

Almost surely, 2^{321414304343440} 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 321414304343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467042947338240).

321414304343440 is an abundant number, since it is smaller than the sum of its proper divisors (612671590333040).

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

321414304343440 is a wasteful number, since it uses less digits than its factorization.

321414304343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87262 (or 87256 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 321414304343440 its reverse (44343403414123), we get a palindrome (365757707757563).

The spelling of 321414304343440 in words is "three hundred twenty-one trillion, four hundred fourteen billion, three hundred four million, three hundred forty-three thousand, four hundred forty".