4408320000 has 560 divisors, whose sum is σ = 17196645312. Its totient is φ = 983040000.

The previous prime is 4408319977. The next prime is 4408320011. The reversal of 4408320000 is 238044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107519980 + ... + 107520020.

Almost surely, 2^4408320000 is an apocalyptic number.

4408320000 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 4408320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598322656).

4408320000 is an abundant number, since it is smaller than the sum of its proper divisors (12788325312).

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

4408320000 is an frugal number, since it uses more digits than its factorization.

4408320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4408320000 is about 66395.1805479886. The cubic root of 4408320000 is about 1639.6747322406.

Adding to 4408320000 its reverse (238044), we get a palindrome (4408558044).

The spelling of 4408320000 in words is "four billion, four hundred eight million, three hundred twenty thousand".