10004034440401 has 8 divisors (see below), whose sum is σ = 10008177969600. Its totient is φ = 9999891338640.

The previous prime is 10004034440399. The next prime is 10004034440423. The reversal of 10004034440401 is 10404443040001.

It is a happy number.

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 10004034440401 - 2¹ = 10004034440399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004034440501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51883311 + ... + 52075771.

It is an arithmetic number, because the mean of its divisors is an integer number (1251022246200).

Almost surely, 2^{10004034440401} is an apocalyptic number.

It is an amenable number.

10004034440401 is a deficient number, since it is larger than the sum of its proper divisors (4143529199).

10004034440401 is a wasteful number, since it uses less digits than its factorization.

10004034440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213719.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10004034440401 its reverse (10404443040001), we get a palindrome (20408477480402).

The spelling of 10004034440401 in words is "ten trillion, four billion, thirty-four million, four hundred forty thousand, four hundred one".