4216816800 has 432 divisors, whose sum is σ = 17534502720. Its totient is φ = 958072320.

The previous prime is 4216816783. The next prime is 4216816823. The reversal of 4216816800 is 86186124.

4216816800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25250317 + ... + 25250483.

Almost surely, 2^4216816800 is an apocalyptic number.

4216816800 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 4216816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8767251360).

4216816800 is an abundant number, since it is smaller than the sum of its proper divisors (13317685920).

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

4216816800 is a wasteful number, since it uses less digits than its factorization.

4216816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4216816800 is about 64937.0217980468. The cubic root of 4216816800 is about 1615.5791677765.

The spelling of 4216816800 in words is "four billion, two hundred sixteen million, eight hundred sixteen thousand, eight hundred".