4216413600 has 432 divisors, whose sum is σ = 17110154880. Its totient is φ = 957081600.

The previous prime is 4216413599. The next prime is 4216413623. The reversal of 4216413600 is 63146124.

4216413600 is a `hidden beast` number, since 4 + 2 + 16 + 41 + 3 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13557445 + ... + 13557755.

It is an arithmetic number, because the mean of its divisors is an integer number (39606840).

Almost surely, 2^4216413600 is an apocalyptic number.

4216413600 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 4216413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555077440).

4216413600 is an abundant number, since it is smaller than the sum of its proper divisors (12893741280).

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

4216413600 is a wasteful number, since it uses less digits than its factorization.

4216413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4216413600 is about 64933.9171773889. The cubic root of 4216413600 is about 1615.5276737773.

Adding to 4216413600 its reverse (63146124), we get a palindrome (4279559724).

The spelling of 4216413600 in words is "four billion, two hundred sixteen million, four hundred thirteen thousand, six hundred".