321214144231040 has 32 divisors (see below), whose sum is σ = 767902563553860. Its totient is φ = 128485657692160.

The previous prime is 321214144231037. The next prime is 321214144231111. The reversal of 321214144231040 is 40132441412123.

It can be written as a sum of positive squares in 2 ways, for example, as 318545678231104 + 2668465999936 = 17847848^2 + 1633544^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 321214144230988 and 321214144231006.

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 3 ways as a sum of consecutive naturals, for example, 250948549541 + ... + 250948550820.

Almost surely, 2^{321214144231040} is an apocalyptic number.

It is an amenable number.

321214144231040 is an abundant number, since it is smaller than the sum of its proper divisors (446688419322820).

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

321214144231040 is an equidigital number, since it uses as much as digits as its factorization.

321214144231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501897100380 (or 501897100368 counting only the distinct ones).

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

Adding to 321214144231040 its reverse (40132441412123), we get a palindrome (361346585643163).

The spelling of 321214144231040 in words is "three hundred twenty-one trillion, two hundred fourteen billion, one hundred forty-four million, two hundred thirty-one thousand, forty".