4420008000 has 560 divisors, whose sum is σ = 17260214400. Its totient is φ = 1113523200.

The previous prime is 4420007987. The next prime is 4420008011. The reversal of 4420008000 is 8000244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12311821 + ... + 12312179.

Almost surely, 2^4420008000 is an apocalyptic number.

4420008000 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 4420008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8630107200).

4420008000 is an abundant number, since it is smaller than the sum of its proper divisors (12840206400).

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

4420008000 is a wasteful number, since it uses less digits than its factorization.

4420008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4420008000 is about 66483.1407200352. The cubic root of 4420008000 is about 1641.1225707136.

Adding to 4420008000 its reverse (8000244), we get a palindrome (4428008244).

The spelling of 4420008000 in words is "four billion, four hundred twenty million, eight thousand".