4010441344 has 128 divisors (see below), whose sum is σ = 9908035200. Its totient is φ = 1574498304.

The previous prime is 4010441339. The next prime is 4010441419. The reversal of 4010441344 is 4431440104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1617834 + ... + 1620310.

It is an arithmetic number, because the mean of its divisors is an integer number (77406525).

Almost surely, 2^4010441344 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 4010441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954017600).

4010441344 is an abundant number, since it is smaller than the sum of its proper divisors (5897593856).

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

4010441344 is a wasteful number, since it uses less digits than its factorization.

4010441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4010441344 is about 63328.0454774976. The cubic root of 4010441344 is about 1588.7810685989.

Adding to 4010441344 its reverse (4431440104), we get a palindrome (8441881448).

The spelling of 4010441344 in words is "four billion, ten million, four hundred forty-one thousand, three hundred forty-four".