4040441440 has 96 divisors (see below), whose sum is σ = 11204149824. Its totient is φ = 1347840000.

The previous prime is 4040441437. The next prime is 4040441453. The reversal of 4040441440 is 441440404.

It is a happy number.

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, 7311 + ... + 90190.

It is an arithmetic number, because the mean of its divisors is an integer number (116709894).

Almost surely, 2^4040441440 is an apocalyptic number.

4040441440 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 4040441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602074912).

4040441440 is an abundant number, since it is smaller than the sum of its proper divisors (7163708384).

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

4040441440 is a wasteful number, since it uses less digits than its factorization.

4040441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97560 (or 97552 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 4040441440 is about 63564.4668033957. The cubic root of 4040441440 is about 1592.7328553528.

Adding to 4040441440 its reverse (441440404), we get a palindrome (4481881844).

The spelling of 4040441440 in words is "four billion, forty million, four hundred forty-one thousand, four hundred forty".