4161164640 has 96 divisors (see below), whose sum is σ = 13138596576. Its totient is φ = 1107025920.

The previous prime is 4161164639. The next prime is 4161164659. The reversal of 4161164640 is 464611614.

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

It is a super-2 number, since 2×4161164640² = 34630582322372659200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 197830 + ... + 217850.

It is an arithmetic number, because the mean of its divisors is an integer number (136860381).

Almost surely, 2^4161164640 is an apocalyptic number.

4161164640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569298288).

4161164640 is an abundant number, since it is smaller than the sum of its proper divisors (8977431936).

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

4161164640 is a wasteful number, since it uses less digits than its factorization.

4161164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20472 (or 20464 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4161164640 is about 64507.0898429002. The cubic root of 4161164640 is about 1608.4403759075.

The spelling of 4161164640 in words is "four billion, one hundred sixty-one million, one hundred sixty-four thousand, six hundred forty".