4161430080 has 280 divisors, whose sum is σ = 15283403520. Its totient is φ = 1073710080.

The previous prime is 4161430033. The next prime is 4161430087. The reversal of 4161430080 is 800341614.

4161430080 is a `hidden beast` number, since 41 + 614 + 3 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4161430087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 800931 + ... + 806109.

It is an arithmetic number, because the mean of its divisors is an integer number (54583584).

Almost surely, 2^4161430080 is an apocalyptic number.

4161430080 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 4161430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641701760).

4161430080 is an abundant number, since it is smaller than the sum of its proper divisors (11121973440).

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

4161430080 is a wasteful number, since it uses less digits than its factorization.

4161430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4161430080 is about 64509.1472583540. The cubic root of 4161430080 is about 1608.4745758950.

Adding to 4161430080 its reverse (800341614), we get a palindrome (4961771694).

The spelling of 4161430080 in words is "four billion, one hundred sixty-one million, four hundred thirty thousand, eighty".