4984012800 has 486 divisors, whose sum is σ = 19332784107. Its totient is φ = 1226833920.

The previous prime is 4984012799. The next prime is 4984012837. The reversal of 4984012800 is 82104894.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4984012800 is a `hidden beast` number, since 498 + 40 + 128 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 312016896 + 4671995904 = 17664^2 + 68352^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=49920.

It is a super-3 number, since 3×4984012800³ (a number of 30 digits) contains 333 as substring.

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 26 ways as a sum of consecutive naturals, for example, 383385594 + ... + 383385606.

Almost surely, 2^4984012800 is an apocalyptic number.

4984012800 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 4984012800

4984012800 is an abundant number, since it is smaller than the sum of its proper divisors (14348771307).

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

4984012800 is an equidigital number, since it uses as much as digits as its factorization.

4984012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

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

The square root of 4984012800 is about 70597.5410336649. The cubic root of 4984012800 is about 1708.1514855942.

Multiplying 4984012800 by its product of nonzero digits (18432), we get a square (91865323929600 = 9584640²).

4984012800 divided by its product of nonzero digits (18432) gives a square (270400 = 520²).

The spelling of 4984012800 in words is "four billion, nine hundred eighty-four million, twelve thousand, eight hundred".