4812242400 has 540 divisors, whose sum is σ = 20252969352. Its totient is φ = 1089262080.

The previous prime is 4812242389. The next prime is 4812242401. The reversal of 4812242400 is 42422184.

4812242400 is a `hidden beast` number, since 4 + 8 + 12 + 242 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812242401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 46720749 + ... + 46720851.

Almost surely, 2^4812242400 is an apocalyptic number.

4812242400 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 4812242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10126484676).

4812242400 is an abundant number, since it is smaller than the sum of its proper divisors (15440726952).

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

4812242400 is a wasteful number, since it uses less digits than its factorization.

4812242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4812242400 is about 69370.3279507889. The cubic root of 4812242400 is about 1688.2982297652.

Adding to 4812242400 its reverse (42422184), we get a palindrome (4854664584).

The spelling of 4812242400 in words is "four billion, eight hundred twelve million, two hundred forty-two thousand, four hundred".