42144422401 has 2 divisors, whose sum is σ = 42144422402. Its totient is φ = 42144422400.

The previous prime is 42144422311. The next prime is 42144422413. The reversal of 42144422401 is 10422444124.

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., 41192761600 + 951660801 = 202960^2 + 30849^2 .

It is a cyclic number.

It is not a de Polignac number, because 42144422401 - 2¹⁵ = 42144389633 is a prime.

It is a super-3 number, since 3×42144422401³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42144422401.

It is not a weakly prime, because it can be changed into another prime (42144422471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21072211200 + 21072211201.

It is an arithmetic number, because the mean of its divisors is an integer number (21072211201).

Almost surely, 2^42144422401 is an apocalyptic number.

It is an amenable number.

42144422401 is a deficient number, since it is larger than the sum of its proper divisors (1).

42144422401 is an equidigital number, since it uses as much as digits as its factorization.

42144422401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 42144422401 its reverse (10422444124), we get a palindrome (52566866525).

The spelling of 42144422401 in words is "forty-two billion, one hundred forty-four million, four hundred twenty-two thousand, four hundred one".