4411147104 has 288 divisors, whose sum is σ = 15859771200. Its totient is φ = 1131687936.

The previous prime is 4411147093. The next prime is 4411147121. The reversal of 4411147104 is 4017411144.

4411147104 is a `hidden beast` number, since 4 + 411 + 147 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967422 + ... + 971970.

It is an arithmetic number, because the mean of its divisors is an integer number (55068650).

Almost surely, 2^4411147104 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 4411147104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7929885600).

4411147104 is an abundant number, since it is smaller than the sum of its proper divisors (11448624096).

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

4411147104 is a wasteful number, since it uses less digits than its factorization.

4411147104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4411147104 is about 66416.4671147149. The cubic root of 4411147104 is about 1640.0251711386.

Adding to 4411147104 its reverse (4017411144), we get a palindrome (8428558248).

The spelling of 4411147104 in words is "four billion, four hundred eleven million, one hundred forty-seven thousand, one hundred four".