10004414041120 has 48 divisors (see below), whose sum is σ = 24036028672320. Its totient is φ = 3933939076864.

The previous prime is 10004414041103. The next prime is 10004414041157. The reversal of 10004414041120 is 2114041440001.

It is a junction number, because it is equal to n+sod(n) for n = 10004414041091 and 10004414041100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 529885372 + ... + 529904251.

It is an arithmetic number, because the mean of its divisors is an integer number (500750597340).

Almost surely, 2^{10004414041120} is an apocalyptic number.

10004414041120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004414041120 is an abundant number, since it is smaller than the sum of its proper divisors (14031614631200).

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

10004414041120 is a wasteful number, since it uses less digits than its factorization.

10004414041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059789697 (or 1059789689 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10004414041120 its reverse (2114041440001), we get a palindrome (12118455481121).

The spelling of 10004414041120 in words is "ten trillion, four billion, four hundred fourteen million, forty-one thousand, one hundred twenty".