4909132800 has 792 divisors, whose sum is σ = 20788513200. Its totient is φ = 1091174400.

The previous prime is 4909132793. The next prime is 4909132801. The reversal of 4909132800 is 82319094.

4909132800 is a `hidden beast` number, since 490 + 91 + 3 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (4909132801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32947126 + ... + 32947274.

Almost surely, 2^4909132800 is an apocalyptic number.

4909132800 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 4909132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394256600).

4909132800 is an abundant number, since it is smaller than the sum of its proper divisors (15879380400).

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

4909132800 is a wasteful number, since it uses less digits than its factorization.

4909132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4909132800 is about 70065.2039174939. The cubic root of 4909132800 is about 1699.5538390871.

The spelling of 4909132800 in words is "four billion, nine hundred nine million, one hundred thirty-two thousand, eight hundred".