4984128000 has 480 divisors, whose sum is σ = 19045231920. Its totient is φ = 1248460800.

The previous prime is 4984127947. The next prime is 4984128041. The reversal of 4984128000 is 8214894.

It can be written as a sum of positive squares in 8 ways, for example, as 1132187904 + 3851940096 = 33648^2 + 62064^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9791746 + ... + 9792254.

Almost surely, 2^4984128000 is an apocalyptic number.

4984128000 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 4984128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522615960).

4984128000 is an abundant number, since it is smaller than the sum of its proper divisors (14061103920).

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

4984128000 is a wasteful number, since it uses less digits than its factorization.

4984128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 536 counting only the distinct ones).

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

The square root of 4984128000 is about 70598.3569213902. The cubic root of 4984128000 is about 1708.1646461767.

It can be divided in two parts, 49841 and 28000, that added together give a square (77841 = 279²).

The spelling of 4984128000 in words is "four billion, nine hundred eighty-four million, one hundred twenty-eight thousand".