34210440401 has 2 divisors, whose sum is σ = 34210440402. Its totient is φ = 34210440400.

The previous prime is 34210440347. The next prime is 34210440409. The reversal of 34210440401 is 10404401243.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28528899025 + 5681541376 = 168905^2 + 75376^2 .

It is a cyclic number.

It is not a de Polignac number, because 34210440401 - 2¹⁸ = 34210178257 is a prime.

It is not a weakly prime, because it can be changed into another prime (34210440409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17105220200 + 17105220201.

It is an arithmetic number, because the mean of its divisors is an integer number (17105220201).

Almost surely, 2^34210440401 is an apocalyptic number.

It is an amenable number.

34210440401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34210440401 is an equidigital number, since it uses as much as digits as its factorization.

34210440401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 34210440401 its reverse (10404401243), we get a palindrome (44614841644).

The spelling of 34210440401 in words is "thirty-four billion, two hundred ten million, four hundred forty thousand, four hundred one".