4409113248 has 288 divisors, whose sum is σ = 14053253760. Its totient is φ = 1304709120.

The previous prime is 4409113211. The next prime is 4409113249. The reversal of 4409113248 is 8423119044.

It is a happy number.

4409113248 is a `hidden beast` number, since 4 + 409 + 1 + 1 + 3 + 248 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4409113249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6670038 + ... + 6670698.

It is an arithmetic number, because the mean of its divisors is an integer number (48796020).

Almost surely, 2^4409113248 is an apocalyptic number.

4409113248 is a gapful number since it is divisible by the number (48) 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 4409113248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026626880).

4409113248 is an abundant number, since it is smaller than the sum of its proper divisors (9644140512).

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

4409113248 is a wasteful number, since it uses less digits than its factorization.

4409113248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4409113248 is about 66401.1539658762. The cubic root of 4409113248 is about 1639.7730758797.

The spelling of 4409113248 in words is "four billion, four hundred nine million, one hundred thirteen thousand, two hundred forty-eight".