4000434002249 has 2 divisors, whose sum is σ = 4000434002250. Its totient is φ = 4000434002248.

The previous prime is 4000434002237. The next prime is 4000434002287. The reversal of 4000434002249 is 9422004340004.

4000434002249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3755968033024 + 244465969225 = 1938032^2 + 494435^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000434002249 - 2⁴⁰ = 2900922374473 is a prime.

It is a super-4 number, since 4×4000434002249⁴ (a number of 52 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (4000434002219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000217001124 + 2000217001125.

It is an arithmetic number, because the mean of its divisors is an integer number (2000217001125).

Almost surely, 2^{4000434002249} is an apocalyptic number.

It is an amenable number.

4000434002249 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000434002249 is an equidigital number, since it uses as much as digits as its factorization.

4000434002249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 4000434002249 in words is "four trillion, four hundred thirty-four million, two thousand, two hundred forty-nine".