321414042534001 has 8 divisors (see below), whose sum is σ = 340514887145544. Its totient is φ = 302334768614400.

The previous prime is 321414042533953. The next prime is 321414042534007. The reversal of 321414042534001 is 100435240414123.

It can be written as a sum of positive squares in 4 ways, for example, as 8449602512400 + 312964440021601 = 2906820^2 + 17690801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 321414042534001 - 2⁹ = 321414042533489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321414042534007) 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 7 ways as a sum of consecutive naturals, for example, 5392642300 + ... + 5392701901.

It is an arithmetic number, because the mean of its divisors is an integer number (42564360893193).

Almost surely, 2^{321414042534001} is an apocalyptic number.

It is an amenable number.

321414042534001 is a deficient number, since it is larger than the sum of its proper divisors (19100844611543).

321414042534001 is a wasteful number, since it uses less digits than its factorization.

321414042534001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785345971.

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 321414042534001 its reverse (100435240414123), we get a palindrome (421849282948124).

The spelling of 321414042534001 in words is "three hundred twenty-one trillion, four hundred fourteen billion, forty-two million, five hundred thirty-four thousand, one".