4411288224 has 144 divisors (see below), whose sum is σ = 14358314880. Its totient is φ = 1258467840.

The previous prime is 4411288207. The next prime is 4411288267. The reversal of 4411288224 is 4228821144.

It is a happy number.

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

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

It is a nude number because it is divisible by every one of its digits.

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, 1851514 + ... + 1853894.

It is an arithmetic number, because the mean of its divisors is an integer number (99710520).

Almost surely, 2^4411288224 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 4411288224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179157440).

4411288224 is an abundant number, since it is smaller than the sum of its proper divisors (9947026656).

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

4411288224 is a wasteful number, since it uses less digits than its factorization.

4411288224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3312 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 4411288224 is about 66417.5294933499. The cubic root of 4411288224 is about 1640.0426600047.

The spelling of 4411288224 in words is "four billion, four hundred eleven million, two hundred eighty-eight thousand, two hundred twenty-four".