4420288000 has 80 divisors (see below), whose sum is σ = 11022423984. Its totient is φ = 1768089600.

The previous prime is 4420287983. The next prime is 4420288013. The reversal of 4420288000 is 8820244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4420288000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29467 + ... + 98533.

Almost surely, 2^4420288000 is an apocalyptic number.

4420288000 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 4420288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511211992).

4420288000 is an abundant number, since it is smaller than the sum of its proper divisors (6602135984).

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

4420288000 is an frugal number, since it uses more digits than its factorization.

4420288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69100 (or 69074 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4420288000 is about 66485.2464837125. The cubic root of 4420288000 is about 1641.1572240910.

The spelling of 4420288000 in words is "four billion, four hundred twenty million, two hundred eighty-eight thousand".