2004114112440 has 64 divisors (see below), whose sum is σ = 6558918917760. Its totient is φ = 485845845120.

The previous prime is 2004114112391. The next prime is 2004114112543. The reversal of 2004114112440 is 442114114002.

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 2004114112440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759132814 + ... + 759135453.

It is an arithmetic number, because the mean of its divisors is an integer number (102483108090).

Almost surely, 2^{2004114112440} is an apocalyptic number.

2004114112440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004114112440 is an abundant number, since it is smaller than the sum of its proper divisors (4554804805320).

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

2004114112440 is a wasteful number, since it uses less digits than its factorization.

2004114112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518268292 (or 1518268288 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 2004114112440 its reverse (442114114002), we get a palindrome (2446228226442).

The spelling of 2004114112440 in words is "two trillion, four billion, one hundred fourteen million, one hundred twelve thousand, four hundred forty".