4771123200 has 468 divisors, whose sum is σ = 17746030848. Its totient is φ = 1223884800.

The previous prime is 4771123187. The next prime is 4771123213. The reversal of 4771123200 is 23211774.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4771123187) and next prime (4771123213).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28569517 + ... + 28569683.

Almost surely, 2^4771123200 is an apocalyptic number.

4771123200 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 4771123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873015424).

4771123200 is an abundant number, since it is smaller than the sum of its proper divisors (12974907648).

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

4771123200 is a wasteful number, since it uses less digits than its factorization.

4771123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4771123200 is about 69073.3175690874. The cubic root of 4771123200 is about 1683.4757970681.

Adding to 4771123200 its reverse (23211774), we get a palindrome (4794334974).

The spelling of 4771123200 in words is "four billion, seven hundred seventy-one million, one hundred twenty-three thousand, two hundred".