4181144832 has 360 divisors, whose sum is σ = 13689383400. Its totient is φ = 1263403008.

The previous prime is 4181144819. The next prime is 4181144833. The reversal of 4181144832 is 2384411814.

It is a happy number.

4181144832 is a `hidden beast` number, since 4 + 181 + 1 + 448 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2136658176 + 2044486656 = 46224^2 + 45216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181144833) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10222644 + ... + 10223052.

It is an arithmetic number, because the mean of its divisors is an integer number (38026065).

Almost surely, 2^4181144832 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 4181144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844691700).

4181144832 is an abundant number, since it is smaller than the sum of its proper divisors (9508238568).

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

4181144832 is a wasteful number, since it uses less digits than its factorization.

4181144832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 460 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 4181144832 is about 64661.7725708165. The cubic root of 4181144832 is about 1611.0106217374.

The spelling of 4181144832 in words is "four billion, one hundred eighty-one million, one hundred forty-four thousand, eight hundred thirty-two".