4480009920 has 336 divisors, whose sum is σ = 16432865280. Its totient is φ = 1117636608.

The previous prime is 4480009879. The next prime is 4480009921. The reversal of 4480009920 is 299000844.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4480009921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3112561 + ... + 3113999.

Almost surely, 2^4480009920 is an apocalyptic number.

4480009920 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 4480009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216432640).

4480009920 is an abundant number, since it is smaller than the sum of its proper divisors (11952855360).

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

4480009920 is a wasteful number, since it uses less digits than its factorization.

4480009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4480009920 is about 66932.8762268588. The cubic root of 4480009920 is about 1648.5153366829.

The spelling of 4480009920 in words is "four billion, four hundred eighty million, nine thousand, nine hundred twenty".