3440101434401 has 2 divisors, whose sum is σ = 3440101434402. Its totient is φ = 3440101434400.

The previous prime is 3440101434347. The next prime is 3440101434449. The reversal of 3440101434401 is 1044341010443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1794528160000 + 1645573274401 = 1339600^2 + 1282799^2 .

It is a cyclic number.

It is not a de Polignac number, because 3440101434401 - 2¹⁸ = 3440101172257 is a prime.

It is not a weakly prime, because it can be changed into another prime (3440101434481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1720050717200 + 1720050717201.

It is an arithmetic number, because the mean of its divisors is an integer number (1720050717201).

Almost surely, 2^{3440101434401} is an apocalyptic number.

It is an amenable number.

3440101434401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3440101434401 is an equidigital number, since it uses as much as digits as its factorization.

3440101434401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 3440101434401 its reverse (1044341010443), we get a palindrome (4484442444844).

The spelling of 3440101434401 in words is "three trillion, four hundred forty billion, one hundred one million, four hundred thirty-four thousand, four hundred one".