4401344640 has 384 divisors, whose sum is σ = 17807584320. Its totient is φ = 914350080.

The previous prime is 4401344621. The next prime is 4401344641. The reversal of 4401344640 is 464431044.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4401344598 and 4401344607.

It is not an unprimeable number, because it can be changed into a prime (4401344641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032754 + ... + 1037006.

Almost surely, 2^4401344640 is an apocalyptic number.

4401344640 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 4401344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8903792160).

4401344640 is an abundant number, since it is smaller than the sum of its proper divisors (13406239680).

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

4401344640 is a wasteful number, since it uses less digits than its factorization.

4401344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4401344640 is about 66342.6306382254. The cubic root of 4401344640 is about 1638.8094472538.

Adding to 4401344640 its reverse (464431044), we get a palindrome (4865775684).

The spelling of 4401344640 in words is "four billion, four hundred one million, three hundred forty-four thousand, six hundred forty".