321441311440 has 80 divisors (see below), whose sum is σ = 796643654400. Its totient is φ = 120267403776.

The previous prime is 321441311423. The next prime is 321441311447. The reversal of 321441311440 is 44113144123.

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 = 321441311399 and 321441311408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321441311447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218367 + ... + 1458526.

It is an arithmetic number, because the mean of its divisors is an integer number (9958045680).

Almost surely, 2^321441311440 is an apocalyptic number.

It is an amenable number.

321441311440 is an abundant number, since it is smaller than the sum of its proper divisors (475202342960).

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

321441311440 is a wasteful number, since it uses less digits than its factorization.

321441311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677004 (or 2676998 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 321441311440 its reverse (44113144123), we get a palindrome (365554455563).

The spelling of 321441311440 in words is "three hundred twenty-one billion, four hundred forty-one million, three hundred eleven thousand, four hundred forty".