4488126720 has 576 divisors, whose sum is σ = 18338310144. Its totient is φ = 908328960.

The previous prime is 4488126703. The next prime is 4488126757. The reversal of 4488126720 is 276218844.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 12714064 + ... + 12714416.

It is an arithmetic number, because the mean of its divisors is an integer number (31837344).

Almost surely, 2^4488126720 is an apocalyptic number.

4488126720 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 4488126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169155072).

4488126720 is an abundant number, since it is smaller than the sum of its proper divisors (13850183424).

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

4488126720 is a wasteful number, since it uses less digits than its factorization.

4488126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 4488126720 is about 66993.4826680924. The cubic root of 4488126720 is about 1649.5103193353.

The spelling of 4488126720 in words is "four billion, four hundred eighty-eight million, one hundred twenty-six thousand, seven hundred twenty".