321214424320440 has 768 divisors, whose sum is σ = 1267743540510720. Its totient is φ = 68992673218560.

The previous prime is 321214424320393. The next prime is 321214424320459. The reversal of 321214424320440 is 44023424412123.

321214424320440 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 1 + 442 + 4 + 3 + 204 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321214424320395 and 321214424320404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401215017 + ... + 402014823.

It is an arithmetic number, because the mean of its divisors is an integer number (1650707735040).

Almost surely, 2^{321214424320440} is an apocalyptic number.

321214424320440 is a gapful number since it is divisible by the number (30) 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 321214424320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633871770255360).

321214424320440 is an abundant number, since it is smaller than the sum of its proper divisors (946529116190280).

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

321214424320440 is a wasteful number, since it uses less digits than its factorization.

321214424320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800012 (or 800005 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 321214424320440 its reverse (44023424412123), we get a palindrome (365237848732563).

The spelling of 321214424320440 in words is "three hundred twenty-one trillion, two hundred fourteen billion, four hundred twenty-four million, three hundred twenty thousand, four hundred forty".