2004414410040 has 128 divisors (see below), whose sum is σ = 6876992448000. Its totient is φ = 457837567488.

The previous prime is 2004414410027. The next prime is 2004414410041. The reversal of 2004414410040 is 400144144002.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004414410041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407806 + ... + 2043314.

It is an arithmetic number, because the mean of its divisors is an integer number (53726503500).

Almost surely, 2^{2004414410040} is an apocalyptic number.

2004414410040 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 2004414410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438496224000).

2004414410040 is an abundant number, since it is smaller than the sum of its proper divisors (4872578037960).

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

2004414410040 is a wasteful number, since it uses less digits than its factorization.

2004414410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636989 (or 1636985 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2004414410040 its reverse (400144144002), we get a palindrome (2404558554042).

The spelling of 2004414410040 in words is "two trillion, four billion, four hundred fourteen million, four hundred ten thousand, forty".