34320320404001 has 2 divisors, whose sum is σ = 34320320404002. Its totient is φ = 34320320404000.

The previous prime is 34320320403937. The next prime is 34320320404039. The reversal of 34320320404001 is 10040402302343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24909322373776 + 9410998030225 = 4990924^2 + 3067735^2 .

It is a cyclic number.

It is not a de Polignac number, because 34320320404001 - 2⁶ = 34320320403937 is a prime.

It is not a weakly prime, because it can be changed into another prime (34320320404081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17160160202000 + 17160160202001.

It is an arithmetic number, because the mean of its divisors is an integer number (17160160202001).

Almost surely, 2^{34320320404001} is an apocalyptic number.

It is an amenable number.

34320320404001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34320320404001 is an equidigital number, since it uses as much as digits as its factorization.

34320320404001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34320320404001 its reverse (10040402302343), we get a palindrome (44360722706344).

The spelling of 34320320404001 in words is "thirty-four trillion, three hundred twenty billion, three hundred twenty million, four hundred four thousand, one".