10040004001 has 8 divisors (see below), whose sum is σ = 10139860224. Its totient is φ = 9940193760.

The previous prime is 10040003947. The next prime is 10040004011.

10040004001 is nontrivially palindromic in base 10.

10040004001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10040004001 - 2⁷ = 10040003873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10040004011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 574056 + ... + 591286.

It is an arithmetic number, because the mean of its divisors is an integer number (1267482528).

Almost surely, 2^10040004001 is an apocalyptic number.

It is an amenable number.

10040004001 is a deficient number, since it is larger than the sum of its proper divisors (99856223).

10040004001 is a wasteful number, since it uses less digits than its factorization.

10040004001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22991.

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 1004000 and 4001, that added together give a palindrome (1008001).

The spelling of 10040004001 in words is "ten billion, forty million, four thousand, one".