4163382720 has 896 divisors, whose sum is σ = 18188513280. Its totient is φ = 875888640.

The previous prime is 4163382667. The next prime is 4163382749. The reversal of 4163382720 is 272833614.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 57032604 + ... + 57032676.

It is an arithmetic number, because the mean of its divisors is an integer number (20299680).

Almost surely, 2^4163382720 is an apocalyptic number.

4163382720 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 4163382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094256640).

4163382720 is an abundant number, since it is smaller than the sum of its proper divisors (14025130560).

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

4163382720 is a wasteful number, since it uses less digits than its factorization.

4163382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4163382720 is about 64524.2800812221. The cubic root of 4163382720 is about 1608.7261144785.

The spelling of 4163382720 in words is "four billion, one hundred sixty-three million, three hundred eighty-two thousand, seven hundred twenty".