4917040128 has 792 divisors, whose sum is σ = 19635086016. Its totient is φ = 1150156800.

The previous prime is 4917040109. The next prime is 4917040129. The reversal of 4917040128 is 8210407194.

4917040128 is a `hidden beast` number, since 491 + 7 + 0 + 40 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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 = 4917040092 and 4917040101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4917040129) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119927788 + ... + 119927828.

Almost surely, 2^4917040128 is an apocalyptic number.

4917040128 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 4917040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9817543008).

4917040128 is an abundant number, since it is smaller than the sum of its proper divisors (14718045888).

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

4917040128 is a wasteful number, since it uses less digits than its factorization.

4917040128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4917040128 is about 70121.6095650977. The cubic root of 4917040128 is about 1700.4658617140.

It can be divided in two parts, 49170 and 40128, that added together give a palindrome (89298).

The spelling of 4917040128 in words is "four billion, nine hundred seventeen million, forty thousand, one hundred twenty-eight".