4855214400 has 336 divisors, whose sum is σ = 16932249600. Its totient is φ = 1214576640.

The previous prime is 4855214393. The next prime is 4855214401. The reversal of 4855214400 is 44125584.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4855214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12676609 + ... + 12676991.

It is an arithmetic number, because the mean of its divisors is an integer number (50393600).

Almost surely, 2^4855214400 is an apocalyptic number.

4855214400 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 4855214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466124800).

4855214400 is an abundant number, since it is smaller than the sum of its proper divisors (12077035200).

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

4855214400 is a wasteful number, since it uses less digits than its factorization.

4855214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 4855214400 is about 69679.3685390446. The cubic root of 4855214400 is about 1693.3086913699.

Adding to 4855214400 its reverse (44125584), we get a palindrome (4899339984).

The spelling of 4855214400 in words is "four billion, eight hundred fifty-five million, two hundred fourteen thousand, four hundred".