40440004404029 has 2 divisors, whose sum is σ = 40440004404030. Its totient is φ = 40440004404028.

The previous prime is 40440004403993. The next prime is 40440004404061. The reversal of 40440004404029 is 92040440004404.

40440004404029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39770340415129 + 669663988900 = 6306373^2 + 818330^2 .

It is a cyclic number.

It is not a de Polignac number, because 40440004404029 - 2²⁸ = 40439735968573 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40440004404029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40440004404929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20220002202014 + 20220002202015.

It is an arithmetic number, because the mean of its divisors is an integer number (20220002202015).

Almost surely, 2^{40440004404029} is an apocalyptic number.

It is an amenable number.

40440004404029 is a deficient number, since it is larger than the sum of its proper divisors (1).

40440004404029 is an equidigital number, since it uses as much as digits as its factorization.

40440004404029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 40440004404029 in words is "forty trillion, four hundred forty billion, four million, four hundred four thousand, twenty-nine".