4161668544 has 504 divisors, whose sum is σ = 14577748848. Its totient is φ = 1164533760.

The previous prime is 4161668543. The next prime is 4161668549. The reversal of 4161668544 is 4458661614.

4161668544 is a `hidden beast` number, since 41 + 6 + 1 + 6 + 68 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4161668544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4161668543) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78522022 + ... + 78522074.

Almost surely, 2^4161668544 is an apocalyptic number.

4161668544 is a gapful number since it is divisible by the number (44) 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 4161668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288874424).

4161668544 is an abundant number, since it is smaller than the sum of its proper divisors (10416080304).

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

4161668544 is an equidigital number, since it uses as much as digits as its factorization.

4161668544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 4161668544 is about 64510.9955278943. The cubic root of 4161668544 is about 1608.5052989836.

The spelling of 4161668544 in words is "four billion, one hundred sixty-one million, six hundred sixty-eight thousand, five hundred forty-four".