2004313300440 has 128 divisors (see below), whose sum is σ = 6564326641920. Its totient is φ = 485541849600.

The previous prime is 2004313300427. The next prime is 2004313300463. The reversal of 2004313300440 is 440033134002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2004313300440.

It is a congruent number.

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, 1273167 + ... + 2372673.

It is an arithmetic number, because the mean of its divisors is an integer number (51283801890).

Almost surely, 2^{2004313300440} is an apocalyptic number.

2004313300440 is a gapful number since it is divisible by the number (20) 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 2004313300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282163320960).

2004313300440 is an abundant number, since it is smaller than the sum of its proper divisors (4560013341480).

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

2004313300440 is a wasteful number, since it uses less digits than its factorization.

2004313300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100913 (or 1100909 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2004313300440 its reverse (440033134002), we get a palindrome (2444346434442).

The spelling of 2004313300440 in words is "two trillion, four billion, three hundred thirteen million, three hundred thousand, four hundred forty".