4480842240 has 700 divisors, whose sum is σ = 18791444034. Its totient is φ = 1024192512.

The previous prime is 4480842227. The next prime is 4480842263. The reversal of 4480842240 is 422480844.

It can be written as a sum of positive squares in only one way, i.e., 4032758016 + 448084224 = 63504^2 + 21168^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4480842195 and 4480842204.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 640120317 + ... + 640120323.

Almost surely, 2^4480842240 is an apocalyptic number.

4480842240 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 4480842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395722017).

4480842240 is an abundant number, since it is smaller than the sum of its proper divisors (14310601794).

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

4480842240 is an frugal number, since it uses more digits than its factorization.

4480842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4480842240 is about 66939.0935104443. The cubic root of 4480842240 is about 1648.6174203350.

The spelling of 4480842240 in words is "four billion, four hundred eighty million, eight hundred forty-two thousand, two hundred forty".