10004013204040 has 64 divisors (see below), whose sum is σ = 22540923417600. Its totient is φ = 3995938904832.

The previous prime is 10004013204011. The next prime is 10004013204043. The reversal of 10004013204040 is 4040231040001.

It is a super-3 number, since 3×10004013204040³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10004013203999 and 10004013204017.

It is not an unprimeable number, because it can be changed into a prime (10004013204043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91065466 + ... + 91175254.

It is an arithmetic number, because the mean of its divisors is an integer number (352201928400).

Almost surely, 2^{10004013204040} is an apocalyptic number.

10004013204040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004013204040 is an abundant number, since it is smaller than the sum of its proper divisors (12536910213560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10004013204040 is a wasteful number, since it uses less digits than its factorization.

10004013204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113006 (or 113002 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10004013204040 its reverse (4040231040001), we get a palindrome (14044244244041).

The spelling of 10004013204040 in words is "ten trillion, four billion, thirteen million, two hundred four thousand, forty".