321420304311440 has 160 divisors (see below), whose sum is σ = 783701177057280. Its totient is φ = 122428027072512.

The previous prime is 321420304311409. The next prime is 321420304311493. The reversal of 321420304311440 is 44113403024123.

It is a super-2 number, since 2×321420304311440² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321420304311397 and 321420304311406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4641614897 + ... + 4641684143.

It is an arithmetic number, because the mean of its divisors is an integer number (4898132356608).

Almost surely, 2^{321420304311440} 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 321420304311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391850588528640).

321420304311440 is an abundant number, since it is smaller than the sum of its proper divisors (462280872745840).

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

321420304311440 is a wasteful number, since it uses less digits than its factorization.

321420304311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96769 (or 96763 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 321420304311440 its reverse (44113403024123), we get a palindrome (365533707335563).

The spelling of 321420304311440 in words is "three hundred twenty-one trillion, four hundred twenty billion, three hundred four million, three hundred eleven thousand, four hundred forty".