42330044412401 has 2 divisors, whose sum is σ = 42330044412402. Its totient is φ = 42330044412400.

The previous prime is 42330044412353. The next prime is 42330044412419. The reversal of 42330044412401 is 10421444003324.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24620213439376 + 17709830973025 = 4961876^2 + 4208305^2 .

It is a cyclic number.

It is not a de Polignac number, because 42330044412401 - 2³⁰ = 42328970670577 is a prime.

It is a super-3 number, since 3×42330044412401³ (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 (42330044412431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21165022206200 + 21165022206201.

It is an arithmetic number, because the mean of its divisors is an integer number (21165022206201).

Almost surely, 2^{42330044412401} is an apocalyptic number.

It is an amenable number.

42330044412401 is a deficient number, since it is larger than the sum of its proper divisors (1).

42330044412401 is an equidigital number, since it uses as much as digits as its factorization.

42330044412401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 42330044412401 its reverse (10421444003324), we get a palindrome (52751488415725).

The spelling of 42330044412401 in words is "forty-two trillion, three hundred thirty billion, forty-four million, four hundred twelve thousand, four hundred one".