10004114067 has 32 divisors (see below), whose sum is σ = 13939200000. Its totient is φ = 6374920320.

The previous prime is 10004114053. The next prime is 10004114119. The reversal of 10004114067 is 76041140001.

It is not a de Polignac number, because 10004114067 - 2¹⁹ = 10003589779 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10004114027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3637809 + ... + 3640557.

It is an arithmetic number, because the mean of its divisors is an integer number (435600000).

Almost surely, 2^10004114067 is an apocalyptic number.

10004114067 is a deficient number, since it is larger than the sum of its proper divisors (3935085933).

10004114067 is a wasteful number, since it uses less digits than its factorization.

10004114067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251.

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 10004114067 its reverse (76041140001), we get a palindrome (86045254068).

The spelling of 10004114067 in words is "ten billion, four million, one hundred fourteen thousand, sixty-seven".