4200216216 has 32 divisors (see below), whose sum is σ = 12000618240. Its totient is φ = 1200061728.

The previous prime is 4200216193. The next prime is 4200216217. The reversal of 4200216216 is 6126120024.

It is a super-2 number, since 2×4200216216² = 35283632522298717312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

4200216216 is a modest number, since divided by 216216 gives 4200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200216217) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12500476 + ... + 12500811.

It is an arithmetic number, because the mean of its divisors is an integer number (375019320).

Almost surely, 2^4200216216 is an apocalyptic number.

It is an amenable number.

4200216216 is an abundant number, since it is smaller than the sum of its proper divisors (7800402024).

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

4200216216 is a wasteful number, since it uses less digits than its factorization.

4200216216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25001303 (or 25001299 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4200216216 is about 64809.0751052659. The cubic root of 4200216216 is about 1613.4563319850.

The spelling of 4200216216 in words is "four billion, two hundred million, two hundred sixteen thousand, two hundred sixteen".