5241412800 has 1008 divisors, whose sum is σ = 22390254432. Its totient is φ = 1194393600.

The previous prime is 5241412769. The next prime is 5241412807. The reversal of 5241412800 is 82141425.

5241412800 is a `hidden beast` number, since 5 + 241 + 412 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5241412807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85924770 + ... + 85924830.

It is an arithmetic number, because the mean of its divisors is an integer number (22212554).

Almost surely, 2^5241412800 is an apocalyptic number.

5241412800 is a gapful number since it is divisible by the number (50) 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 5241412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195127216).

5241412800 is an abundant number, since it is smaller than the sum of its proper divisors (17148841632).

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

5241412800 is a wasteful number, since it uses less digits than its factorization.

5241412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5241412800 is about 72397.6021702377. The cubic root of 5241412800 is about 1737.0652073564.

The spelling of 5241412800 in words is "five billion, two hundred forty-one million, four hundred twelve thousand, eight hundred".