4165971120 has 240 divisors, whose sum is σ = 14319396000. Its totient is φ = 1085091840.

The previous prime is 4165971083. The next prime is 4165971143. The reversal of 4165971120 is 211795614.

4165971120 is a `hidden beast` number, since 41 + 6 + 597 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11936706 + ... + 11937054.

It is an arithmetic number, because the mean of its divisors is an integer number (59664150).

Almost surely, 2^4165971120 is an apocalyptic number.

4165971120 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 4165971120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159698000).

4165971120 is an abundant number, since it is smaller than the sum of its proper divisors (10153424880).

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

4165971120 is a wasteful number, since it uses less digits than its factorization.

4165971120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 4165971120 is about 64544.3345306155. The cubic root of 4165971120 is about 1609.0594303035.

The spelling of 4165971120 in words is "four billion, one hundred sixty-five million, nine hundred seventy-one thousand, one hundred twenty".