4104241344000 has 960 divisors, whose sum is σ = 16946024135040. Its totient is φ = 935254425600.

The previous prime is 4104241343981. The next prime is 4104241344017. The reversal of 4104241344000 is 4431424014.

4104241344000 is a `hidden beast` number, since 4 + 10 + 4 + 241 + 3 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 1503934636 + ... + 1503937364.

It is an arithmetic number, because the mean of its divisors is an integer number (17652108474).

Almost surely, 2^{4104241344000} is an apocalyptic number.

4104241344000 is a gapful number since it is divisible by the number (40) 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 4104241344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8473012067520).

4104241344000 is an abundant number, since it is smaller than the sum of its proper divisors (12841782791040).

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

4104241344000 is a wasteful number, since it uses less digits than its factorization.

4104241344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4104241344000 its reverse (4431424014), we get a palindrome (4108672768014).

The spelling of 4104241344000 in words is "four trillion, one hundred four billion, two hundred forty-one million, three hundred forty-four thousand".