4717112400 has 1620 divisors, whose sum is σ = 23866777116. Its totient is φ = 851558400.

The previous prime is 4717112399. The next prime is 4717112423. The reversal of 4717112400 is 42117174.

4717112400 is a `hidden beast` number, since 471 + 71 + 124 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 167340096 + 4549772304 = 12936^2 + 67452^2 .

It is a super-2 number, since 2×4717112400² = 44502298788467520000, which contains 22 as substring.

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 323 ways as a sum of consecutive naturals, for example, 277477192 + ... + 277477208.

Almost surely, 2^4717112400 is an apocalyptic number.

4717112400 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 4717112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11933388558).

4717112400 is an abundant number, since it is smaller than the sum of its proper divisors (19149664716).

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

4717112400 is a wasteful number, since it uses less digits than its factorization.

4717112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 4717112400 is about 68681.2376126115. The cubic root of 4717112400 is about 1677.0991606992.

Adding to 4717112400 its reverse (42117174), we get a palindrome (4759229574).

The spelling of 4717112400 in words is "four billion, seven hundred seventeen million, one hundred twelve thousand, four hundred".