4165988064 has 192 divisors, whose sum is σ = 12940010496. Its totient is φ = 1148719104.

The previous prime is 4165988039. The next prime is 4165988083. The reversal of 4165988064 is 4608895614.

It is a junction number, because it is equal to n+sod(n) for n = 4165987998 and 4165988016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3405757 + ... + 3406979.

It is an arithmetic number, because the mean of its divisors is an integer number (67395888).

Almost surely, 2^4165988064 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 4165988064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470005248).

4165988064 is an abundant number, since it is smaller than the sum of its proper divisors (8774022432).

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

4165988064 is a wasteful number, since it uses less digits than its factorization.

4165988064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 4165988064 is about 64544.4657890977. The cubic root of 4165988064 is about 1609.0616117770.

The spelling of 4165988064 in words is "four billion, one hundred sixty-five million, nine hundred eighty-eight thousand, sixty-four".