4842182400 has 432 divisors, whose sum is σ = 17683118208. Its totient is φ = 1157120000.

The previous prime is 4842182381. The next prime is 4842182413. The reversal of 4842182400 is 42812484.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21331087 + ... + 21331313.

It is an arithmetic number, because the mean of its divisors is an integer number (40933144).

Almost surely, 2^4842182400 is an apocalyptic number.

4842182400 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 4842182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841559104).

4842182400 is an abundant number, since it is smaller than the sum of its proper divisors (12840935808).

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

4842182400 is a wasteful number, since it uses less digits than its factorization.

4842182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 4842182400 is about 69585.7916531816. The cubic root of 4842182400 is about 1691.7923167231.

Adding to 4842182400 its reverse (42812484), we get a palindrome (4884994884).

The spelling of 4842182400 in words is "four billion, eight hundred forty-two million, one hundred eighty-two thousand, four hundred".