10004113214440 has 16 divisors (see below), whose sum is σ = 22509254732580. Its totient is φ = 4001645285760.

The previous prime is 10004113214357. The next prime is 10004113214443. The reversal of 10004113214440 is 4441231140001.

It can be written as a sum of positive squares in 2 ways, for example, as 9339734985604 + 664378228836 = 3056098^2 + 815094^2 .

It is not an unprimeable number, because it can be changed into a prime (10004113214443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125051415141 + ... + 125051415220.

Almost surely, 2^{10004113214440} is an apocalyptic number.

10004113214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004113214440 is an abundant number, since it is smaller than the sum of its proper divisors (12505141518140).

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

10004113214440 is a wasteful number, since it uses less digits than its factorization.

10004113214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250102830372 (or 250102830368 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10004113214440 its reverse (4441231140001), we get a palindrome (14445344354441).

The spelling of 10004113214440 in words is "ten trillion, four billion, one hundred thirteen million, two hundred fourteen thousand, four hundred forty".