4980400128 has 448 divisors, whose sum is σ = 16985894400. Its totient is φ = 1427374080.

The previous prime is 4980400091. The next prime is 4980400129. The reversal of 4980400128 is 8210040894.

4980400128 is a `hidden beast` number, since 498 + 0 + 40 + 0 + 128 = 666.

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 = 4980400092 and 4980400101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980400129) 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 31 ways as a sum of consecutive naturals, for example, 55959508 + ... + 55959596.

Almost surely, 2^4980400128 is an apocalyptic number.

4980400128 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 4980400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8492947200).

4980400128 is an abundant number, since it is smaller than the sum of its proper divisors (12005494272).

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

4980400128 is a wasteful number, since it uses less digits than its factorization.

4980400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4980400128 is about 70571.9500084842. The cubic root of 4980400128 is about 1707.7386667866.

The spelling of 4980400128 in words is "four billion, nine hundred eighty million, four hundred thousand, one hundred twenty-eight".