10004040001 has 16 divisors (see below), whose sum is σ = 10228187088. Its totient is φ = 9782784000.

The previous prime is 10004039989. The next prime is 10004040023.

10004040001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 646379776 + 9357660225 = 25424^2 + 96735^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004040001 - 2⁷ = 10004039873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10004040001.

It is not an unprimeable number, because it can be changed into a prime (10004040301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7572421 + ... + 7573741.

It is an arithmetic number, because the mean of its divisors is an integer number (639261693).

Almost surely, 2^10004040001 is an apocalyptic number.

It is an amenable number.

10004040001 is a deficient number, since it is larger than the sum of its proper divisors (224147087).

10004040001 is a wasteful number, since it uses less digits than its factorization.

10004040001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292.

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

It can be divided in two parts, 100040 and 40001, that added together give a palindrome (140041).

The spelling of 10004040001 in words is "ten billion, four million, forty thousand, one".