10004000040001 has 24 divisors (see below), whose sum is σ = 11030049640512. Its totient is φ = 9066536872800.

The previous prime is 10004000039987. The next prime is 10004000040019.

10004000040001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10004000040001 - 2²¹ = 10003997942849 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 10004000040001.

It is not an unprimeable number, because it can be changed into a prime (10004000040031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51023566 + ... + 51219256.

It is an arithmetic number, because the mean of its divisors is an integer number (459585401688).

Almost surely, 2^{10004000040001} is an apocalyptic number.

10004000040001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10004000040001 is a deficient number, since it is larger than the sum of its proper divisors (1026049600511).

10004000040001 is a wasteful number, since it uses less digits than its factorization.

10004000040001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197013 (or 197002 counting only the distinct ones).

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

It can be divided in two parts, 100040000 and 40001, that added together give a palindrome (100080001).

The spelling of 10004000040001 in words is "ten trillion, four billion, forty thousand, one".