10004144140001 has 8 divisors (see below), whose sum is σ = 10920921660864. Its totient is φ = 9088584931120.

The previous prime is 10004144139929. The next prime is 10004144140027.

It is a happy number.

10004144140001 is nontrivially palindromic in base 10.

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 10004144140001 - 2³⁰ = 10003070398177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10004044140001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304560821 + ... + 304593666.

It is an arithmetic number, because the mean of its divisors is an integer number (1365115207608).

Almost surely, 2^{10004144140001} is an apocalyptic number.

10004144140001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10004144140001 is a deficient number, since it is larger than the sum of its proper divisors (916777520863).

10004144140001 is a wasteful number, since it uses less digits than its factorization.

10004144140001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609155991.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1000414 and 4140001, that added together give a palindrome (5140415).

The spelling of 10004144140001 in words is "ten trillion, four billion, one hundred forty-four million, one hundred forty thousand, one".