4160565504 has 216 divisors, whose sum is σ = 12594330840. Its totient is φ = 1319141376.

The previous prime is 4160565457. The next prime is 4160565509. The reversal of 4160565504 is 4055650614.

4160565504 = T₁₀₆₄₀ + T₁₀₆₄₁ + ... + T₁₀₇₁₂.

4160565504 is a `hidden beast` number, since 41 + 6 + 0 + 565 + 50 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115605504 + 4044960000 = 10752^2 + 63600^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4160565509) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4877142 + ... + 4877994.

Almost surely, 2^4160565504 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 4160565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297165420).

4160565504 is an abundant number, since it is smaller than the sum of its proper divisors (8433765336).

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

4160565504 is a wasteful number, since it uses less digits than its factorization.

4160565504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 4160565504 is about 64502.4457210732. The cubic root of 4160565504 is about 1608.3631763035.

The spelling of 4160565504 in words is "four billion, one hundred sixty million, five hundred sixty-five thousand, five hundred four".