4488045120 has 252 divisors, whose sum is σ = 16717623156. Its totient is φ = 1104629760.

The previous prime is 4488045109. The next prime is 4488045127. The reversal of 4488045120 is 215408844.

It can be written as a sum of positive squares in 6 ways, for example, as 204604416 + 4283440704 = 14304^2 + 65448^2 .

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 (4488045127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 482110 + ... + 491330.

Almost surely, 2^4488045120 is an apocalyptic number.

4488045120 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 4488045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8358811578).

4488045120 is an abundant number, since it is smaller than the sum of its proper divisors (12229578036).

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

4488045120 is a wasteful number, since it uses less digits than its factorization.

4488045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9270 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4488045120 is about 66992.8736508593. The cubic root of 4488045120 is about 1649.5003225247.

It can be divided in two parts, 44880 and 45120, that added together give a square (90000 = 300²).

The spelling of 4488045120 in words is "four billion, four hundred eighty-eight million, forty-five thousand, one hundred twenty".