321002240213421 has 48 divisors (see below), whose sum is σ = 500607622606000. Its totient is φ = 197037130245120.

The previous prime is 321002240213411. The next prime is 321002240213441. The reversal of 321002240213421 is 124312042200123.

321002240213421 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 0 + 2 + 24 + 0 + 213 + 421 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19994661028521 + 301007579184900 = 4471539^2 + 17349570^2 .

It is not a de Polignac number, because 321002240213421 - 2²¹ = 321002238116269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321002240213411) 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 47 ways as a sum of consecutive naturals, for example, 2583477705 + ... + 2583601953.

Almost surely, 2^{321002240213421} is an apocalyptic number.

It is an amenable number.

321002240213421 is a deficient number, since it is larger than the sum of its proper divisors (179605382392579).

321002240213421 is a wasteful number, since it uses less digits than its factorization.

321002240213421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180286 (or 180283 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 321002240213421 its reverse (124312042200123), we get a palindrome (445314282413544).

The spelling of 321002240213421 in words is "three hundred twenty-one trillion, two billion, two hundred forty million, two hundred thirteen thousand, four hundred twenty-one".