4016216064 has 96 divisors (see below), whose sum is σ = 12237039360. Its totient is φ = 1147478016.

The previous prime is 4016216053. The next prime is 4016216117. The reversal of 4016216064 is 4606126104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4016216064² = 32259982945463304192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3684 + ... + 89699.

It is an arithmetic number, because the mean of its divisors is an integer number (127469160).

Almost surely, 2^4016216064 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 4016216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118519680).

4016216064 is an abundant number, since it is smaller than the sum of its proper divisors (8220823296).

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

4016216064 is an equidigital number, since it uses as much as digits as its factorization.

4016216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93415 (or 93395 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4016216064 is about 63373.6227779350. The cubic root of 4016216064 is about 1589.5432761216.

The spelling of 4016216064 in words is "four billion, sixteen million, two hundred sixteen thousand, sixty-four".