4422864000 has 128 divisors (see below), whose sum is σ = 14661953280. Its totient is φ = 1179417600.

The previous prime is 4422863933. The next prime is 4422864001. The reversal of 4422864000 is 4682244.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (4422864001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929 + ... + 94071.

It is an arithmetic number, because the mean of its divisors is an integer number (114546510).

Almost surely, 2^4422864000 is an apocalyptic number.

4422864000 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 4422864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330976640).

4422864000 is an abundant number, since it is smaller than the sum of its proper divisors (10239089280).

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

4422864000 is an equidigital number, since it uses as much as digits as its factorization.

4422864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92175 (or 92153 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4422864000 is about 66504.6163811205. The cubic root of 4422864000 is about 1641.4759665225.

The spelling of 4422864000 in words is "four billion, four hundred twenty-two million, eight hundred sixty-four thousand".