2004313444100 has 72 divisors (see below), whose sum is σ = 4745282095008. Its totient is φ = 728760524800.

The previous prime is 2004313444087. The next prime is 2004313444141. The reversal of 2004313444100 is 14443134002.

It is a self number, because there is not a number n which added to its sum of digits gives 2004313444100.

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 23 ways as a sum of consecutive naturals, for example, 10324127 + ... + 10516473.

It is an arithmetic number, because the mean of its divisors is an integer number (65906695764).

Almost surely, 2^{2004313444100} is an apocalyptic number.

2004313444100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004313444100 is an abundant number, since it is smaller than the sum of its proper divisors (2740968650908).

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

2004313444100 is a wasteful number, since it uses less digits than its factorization.

2004313444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201845 (or 201838 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2004313444100 its reverse (14443134002), we get a palindrome (2018756578102).

The spelling of 2004313444100 in words is "two trillion, four billion, three hundred thirteen million, four hundred forty-four thousand, one hundred".