34040431014001 has 2 divisors, whose sum is σ = 34040431014002. Its totient is φ = 34040431014000.

The previous prime is 34040431013977. The next prime is 34040431014019. The reversal of 34040431014001 is 10041013404043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29037268613376 + 5003162400625 = 5388624^2 + 2236775^2 .

It is an emirp because it is prime and its reverse (10041013404043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34040431014001 - 2¹⁵ = 34040430981233 is a prime.

It is a super-3 number, since 3×34040431014001³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (34040431014091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17020215507000 + 17020215507001.

It is an arithmetic number, because the mean of its divisors is an integer number (17020215507001).

Almost surely, 2^{34040431014001} is an apocalyptic number.

It is an amenable number.

34040431014001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34040431014001 is an equidigital number, since it uses as much as digits as its factorization.

34040431014001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34040431014001 its reverse (10041013404043), we get a palindrome (44081444418044).

The spelling of 34040431014001 in words is "thirty-four trillion, forty billion, four hundred thirty-one million, fourteen thousand, one".