4400414144 has 112 divisors (see below), whose sum is σ = 10396362240. Its totient is φ = 1808593920.

The previous prime is 4400414131. The next prime is 4400414149. The reversal of 4400414144 is 4414140044.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400414149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1175027 + ... + 1178765.

Almost surely, 2^4400414144 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 4400414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198181120).

4400414144 is an abundant number, since it is smaller than the sum of its proper divisors (5995948096).

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

4400414144 is a wasteful number, since it uses less digits than its factorization.

4400414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 4400414144 is about 66335.6174615116. The cubic root of 4400414144 is about 1638.6939512533.

Adding to 4400414144 its reverse (4414140044), we get a palindrome (8814554188).

The spelling of 4400414144 in words is "four billion, four hundred million, four hundred fourteen thousand, one hundred forty-four".