4924141200 has 480 divisors, whose sum is σ = 19309180800. Its totient is φ = 1181952000.

The previous prime is 4924141199. The next prime is 4924141207. The reversal of 4924141200 is 21414294.

It is a happy number.

4924141200 is a `hidden beast` number, since 4 + 9 + 241 + 412 + 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 (4924141207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21502686 + ... + 21502914.

It is an arithmetic number, because the mean of its divisors is an integer number (40227460).

Almost surely, 2^4924141200 is an apocalyptic number.

4924141200 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 4924141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9654590400).

4924141200 is an abundant number, since it is smaller than the sum of its proper divisors (14385039600).

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

4924141200 is a wasteful number, since it uses less digits than its factorization.

4924141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4924141200 is about 70172.2252746769. The cubic root of 4924141200 is about 1701.2840587045.

Adding to 4924141200 its reverse (21414294), we get a palindrome (4945555494).

The spelling of 4924141200 in words is "four billion, nine hundred twenty-four million, one hundred forty-one thousand, two hundred".