4043180160 has 192 divisors, whose sum is σ = 14037805080. Its totient is φ = 1072300032.

The previous prime is 4043180137. The next prime is 4043180161. The reversal of 4043180160 is 610813404.

It can be written as a sum of positive squares in 4 ways, for example, as 1524746304 + 2518433856 = 39048^2 + 50184^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4043180161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1109862 + ... + 1113498.

Almost surely, 2^4043180160 is an apocalyptic number.

4043180160 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 4043180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018902540).

4043180160 is an abundant number, since it is smaller than the sum of its proper divisors (9994624920).

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

4043180160 is a wasteful number, since it uses less digits than its factorization.

4043180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3840 counting only the distinct ones).

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

The square root of 4043180160 is about 63586.0060076115. The cubic root of 4043180160 is about 1593.0926398128.

Adding to 4043180160 its reverse (610813404), we get a palindrome (4653993564).

The spelling of 4043180160 in words is "four billion, forty-three million, one hundred eighty thousand, one hundred sixty".