4811788800 has 1440 divisors, whose sum is σ = 23271760512. Its totient is φ = 955514880.

The previous prime is 4811788789. The next prime is 4811788811. The reversal of 4811788800 is 88871184.

4811788800 is a `hidden beast` number, since 481 + 17 + 88 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4811788789) and next prime (4811788811).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×4811788800² = 46306622911610880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 283046392 + ... + 283046408.

Almost surely, 2^4811788800 is an apocalyptic number.

4811788800 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 4811788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635880256).

4811788800 is an abundant number, since it is smaller than the sum of its proper divisors (18459971712).

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

4811788800 is a wasteful number, since it uses less digits than its factorization.

4811788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The square root of 4811788800 is about 69367.0584643749. The cubic root of 4811788800 is about 1688.2451819983.

The spelling of 4811788800 in words is "four billion, eight hundred eleven million, seven hundred eighty-eight thousand, eight hundred".