4411424000 has 144 divisors (see below), whose sum is σ = 11346456576. Its totient is φ = 1707264000.

The previous prime is 4411423981. The next prime is 4411424011. The reversal of 4411424000 is 4241144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989777 + ... + 994223.

Almost surely, 2^4411424000 is an apocalyptic number.

4411424000 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 4411424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673228288).

4411424000 is an abundant number, since it is smaller than the sum of its proper divisors (6935032576).

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

4411424000 is an equidigital number, since it uses as much as digits as its factorization.

4411424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509 (or 4485 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4411424000 is about 66418.5516252801. The cubic root of 4411424000 is about 1640.0594862420.

Adding to 4411424000 its reverse (4241144), we get a palindrome (4415665144).

The spelling of 4411424000 in words is "four billion, four hundred eleven million, four hundred twenty-four thousand".