4164556416 has 128 divisors (see below), whose sum is σ = 11315635200. Its totient is φ = 1356745728.

The previous prime is 4164556393. The next prime is 4164556421. The reversal of 4164556416 is 6146554614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 3245311 + ... + 3246593.

It is an arithmetic number, because the mean of its divisors is an integer number (88403400).

Almost surely, 2^4164556416 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 4164556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657817600).

4164556416 is an abundant number, since it is smaller than the sum of its proper divisors (7151078784).

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

4164556416 is a wasteful number, since it uses less digits than its factorization.

4164556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1474 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 4164556416 is about 64533.3744352486. The cubic root of 4164556416 is about 1608.8772718531.

The spelling of 4164556416 in words is "four billion, one hundred sixty-four million, five hundred fifty-six thousand, four hundred sixteen".