2404366627104 has 144 divisors (see below), whose sum is σ = 7365716938944. Its totient is φ = 739569600000.

The previous prime is 2404366627093. The next prime is 2404366627111. The reversal of 2404366627104 is 4017266634042.

2404366627104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2404366627104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11846479 + ... + 12047729.

It is an arithmetic number, because the mean of its divisors is an integer number (51150812076).

Almost surely, 2^{2404366627104} is an apocalyptic number.

2404366627104 is a gapful number since it is divisible by the number (24) 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 2404366627104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682858469472).

2404366627104 is an abundant number, since it is smaller than the sum of its proper divisors (4961350311840).

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

2404366627104 is a wasteful number, since it uses less digits than its factorization.

2404366627104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204471 (or 204460 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2404366627104 in words is "two trillion, four hundred four billion, three hundred sixty-six million, six hundred twenty-seven thousand, one hundred four".