4981204800 has 1008 divisors, whose sum is σ = 21667988160. Its totient is φ = 1069056000.

The previous prime is 4981204793. The next prime is 4981204817. The reversal of 4981204800 is 84021894.

4981204800 is a `hidden beast` number, since 498 + 120 + 48 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 84427171 + ... + 84427229.

It is an arithmetic number, because the mean of its divisors is an integer number (21496020).

Almost surely, 2^4981204800 is an apocalyptic number.

4981204800 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 4981204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10833994080).

4981204800 is an abundant number, since it is smaller than the sum of its proper divisors (16686783360).

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

4981204800 is a wasteful number, since it uses less digits than its factorization.

4981204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

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

The square root of 4981204800 is about 70577.6508535103. The cubic root of 4981204800 is about 1707.8306336603.

The spelling of 4981204800 in words is "four billion, nine hundred eighty-one million, two hundred four thousand, eight hundred".