4414011440 has 80 divisors (see below), whose sum is σ = 10392834816. Its totient is φ = 1743302400.

The previous prime is 4414011421. The next prime is 4414011473. The reversal of 4414011440 is 441104144.

It is a tau number, because it is divible by the number of its divisors (80).

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, 4045295 + ... + 4046385.

Almost surely, 2^4414011440 is an apocalyptic number.

4414011440 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 4414011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196417408).

4414011440 is an abundant number, since it is smaller than the sum of its proper divisors (5978823376).

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

4414011440 is a wasteful number, since it uses less digits than its factorization.

4414011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 4414011440 is about 66438.0270628200. The cubic root of 4414011440 is about 1640.3800725295.

Adding to 4414011440 its reverse (441104144), we get a palindrome (4855115584).

The spelling of 4414011440 in words is "four billion, four hundred fourteen million, eleven thousand, four hundred forty".