4161798144 has 315 divisors, whose sum is σ = 14464050447. Its totient is φ = 1189085184.

The previous prime is 4161798107. The next prime is 4161798161. The reversal of 4161798144 is 4418971614.

The square root of 4161798144 is 64512.

It is a perfect power (a square), and thus also a powerful number.

4161798144 is a `hidden beast` number, since 416 + 1 + 7 + 98 + 144 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (193536) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4161798144.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 594542589 + ... + 594542595.

Almost surely, 2^4161798144 is an apocalyptic number.

4161798144 is the 64512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161798144

4161798144 is an abundant number, since it is smaller than the sum of its proper divisors (10302252303).

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

4161798144 is an frugal number, since it uses more digits than its factorization.

4161798144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The cubic root of 4161798144 is about 1608.5219958221.

The spelling of 4161798144 in words is "four billion, one hundred sixty-one million, seven hundred ninety-eight thousand, one hundred forty-four".