10004413000 has 128 divisors (see below), whose sum is σ = 24312637440. Its totient is φ = 3849120000.

The previous prime is 10004412949. The next prime is 10004413019. The reversal of 10004413000 is 31440001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5610109 + ... + 5611891.

It is an arithmetic number, because the mean of its divisors is an integer number (189942480).

Almost surely, 2^10004413000 is an apocalyptic number.

10004413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156318720).

10004413000 is an abundant number, since it is smaller than the sum of its proper divisors (14308224440).

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

10004413000 is a wasteful number, since it uses less digits than its factorization.

10004413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10004413000 its reverse (31440001), we get a palindrome (10035853001).

The spelling of 10004413000 in words is "ten billion, four million, four hundred thirteen thousand".