40402004004289 has 2 divisors, whose sum is σ = 40402004004290. Its totient is φ = 40402004004288.

The previous prime is 40402004004211. The next prime is 40402004004347. The reversal of 40402004004289 is 98240040020404.

40402004004289 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., 34376000241025 + 6026003763264 = 5863105^2 + 2454792^2 .

It is a cyclic number.

It is not a de Polignac number, because 40402004004289 - 2¹⁹ = 40402003480001 is a prime.

It is not a weakly prime, because it can be changed into another prime (40402004004589) 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, 20201002002144 + 20201002002145.

It is an arithmetic number, because the mean of its divisors is an integer number (20201002002145).

Almost surely, 2^{40402004004289} is an apocalyptic number.

It is an amenable number.

40402004004289 is a deficient number, since it is larger than the sum of its proper divisors (1).

40402004004289 is an equidigital number, since it uses as much as digits as its factorization.

40402004004289 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 37.

The spelling of 40402004004289 in words is "forty trillion, four hundred two billion, four million, four thousand, two hundred eighty-nine".