4471744320 has 392 divisors, whose sum is σ = 16540718760. Its totient is φ = 1149603840.

The previous prime is 4471744301. The next prime is 4471744331. The reversal of 4471744320 is 234471744.

It is a happy number.

4471744320 is a `hidden beast` number, since 447 + 174 + 43 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 994519296 + 3477225024 = 31536^2 + 58968^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6764790 + ... + 6765450.

Almost surely, 2^4471744320 is an apocalyptic number.

4471744320 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 4471744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270359380).

4471744320 is an abundant number, since it is smaller than the sum of its proper divisors (12068974440).

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

4471744320 is an equidigital number, since it uses as much as digits as its factorization.

4471744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4471744320 is about 66871.1022789366. The cubic root of 4471744320 is about 1647.5008778490.

The spelling of 4471744320 in words is "four billion, four hundred seventy-one million, seven hundred forty-four thousand, three hundred twenty".