4004114039969 has 2 divisors, whose sum is σ = 4004114039970. Its totient is φ = 4004114039968.

The previous prime is 4004114039843. The next prime is 4004114040013. The reversal of 4004114039969 is 9699304114004.

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., 2974893644944 + 1029220395025 = 1724788^2 + 1014505^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004114039969 - 2³² = 3999819072673 is a prime.

It is a super-2 number, since 2×4004114039969² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4004114039069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002057019984 + 2002057019985.

It is an arithmetic number, because the mean of its divisors is an integer number (2002057019985).

Almost surely, 2^{4004114039969} is an apocalyptic number.

It is an amenable number.

4004114039969 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004114039969 is an equidigital number, since it uses as much as digits as its factorization.

4004114039969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 839808, while the sum is 50.

The spelling of 4004114039969 in words is "four trillion, four billion, one hundred fourteen million, thirty-nine thousand, nine hundred sixty-nine".