4411008000 has 528 divisors, whose sum is σ = 18199369344. Its totient is φ = 1006387200.

The previous prime is 4411007999. The next prime is 4411008029. The reversal of 4411008000 is 8001144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8063727 + ... + 8064273.

Almost surely, 2^4411008000 is an apocalyptic number.

4411008000 is a gapful number since it is divisible by the number (40) 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 4411008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099684672).

4411008000 is an abundant number, since it is smaller than the sum of its proper divisors (13788361344).

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

4411008000 is a wasteful number, since it uses less digits than its factorization.

4411008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4411008000 is about 66415.4198962861. The cubic root of 4411008000 is about 1640.0079317483.

Adding to 4411008000 its reverse (8001144), we get a palindrome (4419009144).

The spelling of 4411008000 in words is "four billion, four hundred eleven million, eight thousand".