4478740128 has 240 divisors, whose sum is σ = 13728718080. Its totient is φ = 1430784000.

The previous prime is 4478740111. The next prime is 4478740157. The reversal of 4478740128 is 8210478744.

4478740128 is a `hidden beast` number, since 447 + 87 + 4 + 0 + 128 = 666.

It is a super-2 number, since 2×4478740128² = 40118226268314912768, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11168728 + ... + 11169128.

It is an arithmetic number, because the mean of its divisors is an integer number (57202992).

Almost surely, 2^4478740128 is an apocalyptic number.

4478740128 is a gapful number since it is divisible by the number (48) 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 4478740128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864359040).

4478740128 is an abundant number, since it is smaller than the sum of its proper divisors (9249977952).

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

4478740128 is a wasteful number, since it uses less digits than its factorization.

4478740128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 4478740128 is about 66923.3899918407. The cubic root of 4478740128 is about 1648.3595729366.

The spelling of 4478740128 in words is "four billion, four hundred seventy-eight million, seven hundred forty thousand, one hundred twenty-eight".