4244728320 has 640 divisors, whose sum is σ = 17850286080. Its totient is φ = 935608320.

The previous prime is 4244728303. The next prime is 4244728339. The reversal of 4244728320 is 238274424.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4244728320² = 36035437021220044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14998899 + ... + 14999181.

It is an arithmetic number, because the mean of its divisors is an integer number (27891072).

Almost surely, 2^4244728320 is an apocalyptic number.

4244728320 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 4244728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8925143040).

4244728320 is an abundant number, since it is smaller than the sum of its proper divisors (13605557760).

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

4244728320 is a wasteful number, since it uses less digits than its factorization.

4244728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4244728320 is about 65151.5795664234. The cubic root of 4244728320 is about 1619.1358903309.

The spelling of 4244728320 in words is "four billion, two hundred forty-four million, seven hundred twenty-eight thousand, three hundred twenty".