4838416128 has 432 divisors, whose sum is σ = 17570681856. Its totient is φ = 1246371840.

The previous prime is 4838416123. The next prime is 4838416159. The reversal of 4838416128 is 8216148384.

4838416128 is a `hidden beast` number, since 483 + 8 + 4 + 161 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4838416123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9853963 + ... + 9854453.

Almost surely, 2^4838416128 is an apocalyptic number.

4838416128 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 4838416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8785340928).

4838416128 is an abundant number, since it is smaller than the sum of its proper divisors (12732265728).

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

4838416128 is a wasteful number, since it uses less digits than its factorization.

4838416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 4838416128 is about 69558.7243126267. The cubic root of 4838416128 is about 1691.3535749731.

The spelling of 4838416128 in words is "four billion, eight hundred thirty-eight million, four hundred sixteen thousand, one hundred twenty-eight".