4104042113444 has 288 divisors, whose sum is σ = 9363058360320. Its totient is φ = 1532548512000.

The previous prime is 4104042113393. The next prime is 4104042113491. The reversal of 4104042113444 is 4443112404014.

It is a super-3 number, since 3×4104042113444³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4104042113444.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5553507227 + ... + 5553507965.

Almost surely, 2^{4104042113444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104042113444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681529180160).

4104042113444 is an abundant number, since it is smaller than the sum of its proper divisors (5259016246876).

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

4104042113444 is a wasteful number, since it uses less digits than its factorization.

4104042113444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4104042113444 its reverse (4443112404014), we get a palindrome (8547154517458).

The spelling of 4104042113444 in words is "four trillion, one hundred four billion, forty-two million, one hundred thirteen thousand, four hundred forty-four".