4988160000 has 360 divisors, whose sum is σ = 18044216190. Its totient is φ = 1327104000.

The previous prime is 4988159989. The next prime is 4988160013. The reversal of 4988160000 is 618894.

It is a happy number.

4988160000 is a `hidden beast` number, since 49 + 8 + 8 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 63489024 + 4924670976 = 7968^2 + 70176^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11519784 + ... + 11520216.

Almost surely, 2^4988160000 is an apocalyptic number.

4988160000 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 4988160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022108095).

4988160000 is an abundant number, since it is smaller than the sum of its proper divisors (13056056190).

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

4988160000 is an equidigital number, since it uses as much as digits as its factorization.

4988160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4988160000 is about 70626.9070538984. The cubic root of 4988160000 is about 1708.6251388634.

Adding to 4988160000 its reverse (618894), we get a palindrome (4988778894).

The spelling of 4988160000 in words is "four billion, nine hundred eighty-eight million, one hundred sixty thousand".