4895416224 has 192 divisors, whose sum is σ = 15088550400. Its totient is φ = 1541643264.

The previous prime is 4895416223. The next prime is 4895416241. The reversal of 4895416224 is 4226145984.

It is a happy number.

4895416224 is a `hidden beast` number, since 4 + 8 + 9 + 5 + 416 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4895416224.

It is not an unprimeable number, because it can be changed into a prime (4895416223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175554 + ... + 1179710.

It is an arithmetic number, because the mean of its divisors is an integer number (78586200).

Almost surely, 2^4895416224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4895416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544275200).

4895416224 is an abundant number, since it is smaller than the sum of its proper divisors (10193134176).

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

4895416224 is a wasteful number, since it uses less digits than its factorization.

4895416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4238 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 4895416224 is about 69967.2510822027. The cubic root of 4895416224 is about 1697.9694584275.

The spelling of 4895416224 in words is "four billion, eight hundred ninety-five million, four hundred sixteen thousand, two hundred twenty-four".