4138161664 has 80 divisors (see below), whose sum is σ = 10176411168. Its totient is φ = 1637056512.

The previous prime is 4138161661. The next prime is 4138161667. The reversal of 4138161664 is 4661618314.

It is an interprime number because it is at equal distance from previous prime (4138161661) and next prime (4138161667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138161661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2184 + ... + 91000.

Almost surely, 2^4138161664 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 4138161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088205584).

4138161664 is an abundant number, since it is smaller than the sum of its proper divisors (6038249504).

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

4138161664 is an equidigital number, since it uses as much as digits as its factorization.

4138161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88855 (or 88839 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 4138161664 is about 64328.5447060634. The cubic root of 4138161664 is about 1605.4710707919.

Adding to 4138161664 its reverse (4661618314), we get a palindrome (8799779978).

The spelling of 4138161664 in words is "four billion, one hundred thirty-eight million, one hundred sixty-one thousand, six hundred sixty-four".