321440214321140 has 24 divisors (see below), whose sum is σ = 675147159712872. Its totient is φ = 128552712464000.

The previous prime is 321440214321019. The next prime is 321440214321203. The reversal of 321440214321140 is 41123412044123.

It can be written as a sum of positive squares in 4 ways, for example, as 168655831403536 + 152784382917604 = 12986756^2 + 12360598^2 .

It is a super-2 number, since 2×321440214321140² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321440214321097 and 321440214321106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1460716259 + ... + 1460936298.

It is an arithmetic number, because the mean of its divisors is an integer number (28131131654703).

Almost surely, 2^{321440214321140} is an apocalyptic number.

It is an amenable number.

321440214321140 is an abundant number, since it is smaller than the sum of its proper divisors (353706945391732).

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

321440214321140 is a wasteful number, since it uses less digits than its factorization.

321440214321140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921658067 (or 2921658065 counting only the distinct ones).

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

Adding to 321440214321140 its reverse (41123412044123), we get a palindrome (362563626365263).

The spelling of 321440214321140 in words is "three hundred twenty-one trillion, four hundred forty billion, two hundred fourteen million, three hundred twenty-one thousand, one hundred forty".