321012343131440 has 80 divisors (see below), whose sum is σ = 749412575754528. Its totient is φ = 127879189475328.

The previous prime is 321012343131349. The next prime is 321012343131503. The reversal of 321012343131440 is 44131343210123.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 321012343131397 and 321012343131406.

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 15 ways as a sum of consecutive naturals, for example, 36241694 + ... + 44220866.

Almost surely, 2^{321012343131440} is an apocalyptic number.

It is an amenable number.

321012343131440 is an abundant number, since it is smaller than the sum of its proper divisors (428400232623088).

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

321012343131440 is a wasteful number, since it uses less digits than its factorization.

321012343131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981246 (or 7981240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 321012343131440 its reverse (44131343210123), we get a palindrome (365143686341563).

The spelling of 321012343131440 in words is "three hundred twenty-one trillion, twelve billion, three hundred forty-three million, one hundred thirty-one thousand, four hundred forty".