4216352000 has 216 divisors, whose sum is σ = 12222854280. Its totient is φ = 1445068800.

The previous prime is 4216351991. The next prime is 4216352027. The reversal of 4216352000 is 2536124.

It can be written as a sum of positive squares in 4 ways, for example, as 1004636416 + 3211715584 = 31696^2 + 56672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566656 + ... + 1569344.

Almost surely, 2^4216352000 is an apocalyptic number.

4216352000 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 4216352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111427140).

4216352000 is an abundant number, since it is smaller than the sum of its proper divisors (8006502280).

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

4216352000 is an equidigital number, since it uses as much as digits as its factorization.

4216352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 4216352000 is about 64933.4428472725. The cubic root of 4216352000 is about 1615.5198063494.

Adding to 4216352000 its reverse (2536124), we get a palindrome (4218888124).

The spelling of 4216352000 in words is "four billion, two hundred sixteen million, three hundred fifty-two thousand".