10004413144 has 32 divisors (see below), whose sum is σ = 20510265600. Its totient is φ = 4537084320.

The previous prime is 10004413099. The next prime is 10004413213. The reversal of 10004413144 is 44131440001.

10004413144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 90852 + ... + 168115.

It is an arithmetic number, because the mean of its divisors is an integer number (640945800).

Almost surely, 2^10004413144 is an apocalyptic number.

It is an amenable number.

10004413144 is an abundant number, since it is smaller than the sum of its proper divisors (10505852456).

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

10004413144 is a wasteful number, since it uses less digits than its factorization.

10004413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259423 (or 259419 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10004413144 its reverse (44131440001), we get a palindrome (54135853145).

It can be divided in two parts, 1000 and 4413144, that added together give a palindrome (4414144).

The spelling of 10004413144 in words is "ten billion, four million, four hundred thirteen thousand, one hundred forty-four".