342224430401 has 12 divisors (see below), whose sum is σ = 398249152452. Its totient is φ = 293223708288.

The previous prime is 342224430377. The next prime is 342224430419. The reversal of 342224430401 is 104034422243.

It can be written as a sum of positive squares in 2 ways, for example, as 181522863025 + 160701567376 = 426055^2 + 400876^2 .

It is not a de Polignac number, because 342224430401 - 2¹⁸ = 342224168257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342224430461) 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 11 ways as a sum of consecutive naturals, for example, 1197260 + ... + 1455293.

It is an arithmetic number, because the mean of its divisors is an integer number (33187429371).

Almost surely, 2^342224430401 is an apocalyptic number.

It is an amenable number.

342224430401 is a deficient number, since it is larger than the sum of its proper divisors (56024722051).

342224430401 is a wasteful number, since it uses less digits than its factorization.

342224430401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655200 (or 2655193 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 342224430401 its reverse (104034422243), we get a palindrome (446258852644).

The spelling of 342224430401 in words is "three hundred forty-two billion, two hundred twenty-four million, four hundred thirty thousand, four hundred one".