4216408372512 has 336 divisors, whose sum is σ = 14230134317952. Its totient is φ = 1204157767680.

The previous prime is 4216408372499. The next prime is 4216408372531. The reversal of 4216408372512 is 2152738046124.

4216408372512 is a `hidden beast` number, since 4 + 2 + 1 + 64 + 0 + 8 + 3 + 72 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 512255437 + ... + 512263667.

It is an arithmetic number, because the mean of its divisors is an integer number (42351590232).

Almost surely, 2^{4216408372512} is an apocalyptic number.

4216408372512 is a gapful number since it is divisible by the number (42) 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 4216408372512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115067158976).

4216408372512 is an abundant number, since it is smaller than the sum of its proper divisors (10013725945440).

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

4216408372512 is an equidigital number, since it uses as much as digits as its factorization.

4216408372512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11403 (or 11380 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4216408372512 in words is "four trillion, two hundred sixteen billion, four hundred eight million, three hundred seventy-two thousand, five hundred twelve".