4404440040 has 512 divisors, whose sum is σ = 18238832640. Its totient is φ = 821145600.

The previous prime is 4404440023. The next prime is 4404440101. The reversal of 4404440040 is 400444044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4443945 + ... + 4444935.

It is an arithmetic number, because the mean of its divisors is an integer number (35622720).

Almost surely, 2^4404440040 is an apocalyptic number.

4404440040 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 4404440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119416320).

4404440040 is an abundant number, since it is smaller than the sum of its proper divisors (13834392600).

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

4404440040 is a wasteful number, since it uses less digits than its factorization.

4404440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4404440040 is about 66365.9554289698. The cubic root of 4404440040 is about 1639.1935406344.

Adding to 4404440040 its reverse (400444044), we get a palindrome (4804884084).

It can be divided in two parts, 4404 and 440040, that added together give a palindrome (444444).

The spelling of 4404440040 in words is "four billion, four hundred four million, four hundred forty thousand, forty".