321440141440020 has 48 divisors (see below), whose sum is σ = 900049484271168. Its totient is φ = 85715743599360.

The previous prime is 321440141440003. The next prime is 321440141440039. The reversal of 321440141440020 is 20044141044123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 321440141440020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47669686 + ... + 53993325.

It is an arithmetic number, because the mean of its divisors is an integer number (18751030922316).

Almost surely, 2^{321440141440020} is an apocalyptic number.

321440141440020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321440141440020 is an abundant number, since it is smaller than the sum of its proper divisors (578609342831148).

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

321440141440020 is a wasteful number, since it uses less digits than its factorization.

321440141440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101715720 (or 101715718 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 321440141440020 its reverse (20044141044123), we get a palindrome (341484282484143).

The spelling of 321440141440020 in words is "three hundred twenty-one trillion, four hundred forty billion, one hundred forty-one million, four hundred forty thousand, twenty".