4161974544 has 540 divisors, whose sum is σ = 15599238564. Its totient is φ = 1026514944.

The previous prime is 4161974521. The next prime is 4161974573. The reversal of 4161974544 is 4454791614.

4161974544 is a `hidden beast` number, since 4 + 1 + 6 + 197 + 454 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 176400 + 4161798144 = 420^2 + 64512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4161974544.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26509314 + ... + 26509470.

Almost surely, 2^4161974544 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 4161974544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799619282).

4161974544 is an abundant number, since it is smaller than the sum of its proper divisors (11437264020).

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

4161974544 is a wasteful number, since it uses less digits than its factorization.

4161974544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 199 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 4161974544 is about 64513.3671730131. The cubic root of 4161974544 is about 1608.5447215175.

The spelling of 4161974544 in words is "four billion, one hundred sixty-one million, nine hundred seventy-four thousand, five hundred forty-four".