4116209664 has 224 divisors, whose sum is σ = 12758294016. Its totient is φ = 1156055040.

The previous prime is 4116209579. The next prime is 4116209681. The reversal of 4116209664 is 4669026114.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12214104 + ... + 12214440.

Almost surely, 2^4116209664 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 4116209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379147008).

4116209664 is an abundant number, since it is smaller than the sum of its proper divisors (8642084352).

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

4116209664 is an equidigital number, since it uses as much as digits as its factorization.

4116209664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 4116209664 is about 64157.6937241357. The cubic root of 4116209664 is about 1602.6271506055.

The spelling of 4116209664 in words is "four billion, one hundred sixteen million, two hundred nine thousand, six hundred sixty-four".