4216459824 has 120 divisors (see below), whose sum is σ = 11930470032. Its totient is φ = 1390072320.

The previous prime is 4216459769. The next prime is 4216459847. The reversal of 4216459824 is 4289546124.

It is a happy number.

4216459824 is a `hidden beast` number, since 42 + 16 + 4 + 598 + 2 + 4 = 666.

It is a super-2 number, since 2×4216459824² = 35557066894812221952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4216459824.

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, 9517747 + ... + 9518189.

Almost surely, 2^4216459824 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 4216459824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965235016).

4216459824 is an abundant number, since it is smaller than the sum of its proper divisors (7714010208).

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

4216459824 is a wasteful number, since it uses less digits than its factorization.

4216459824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1026 counting only the distinct ones).

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

The square root of 4216459824 is about 64934.2731075046. The cubic root of 4216459824 is about 1615.5335773631.

The spelling of 4216459824 in words is "four billion, two hundred sixteen million, four hundred fifty-nine thousand, eight hundred twenty-four".