4140759168 has 192 divisors, whose sum is σ = 14665560000. Its totient is φ = 1092040704.

The previous prime is 4140759157. The next prime is 4140759169. The reversal of 4140759168 is 8619570414.

4140759168 is a `hidden beast` number, since 414 + 0 + 75 + 9 + 168 = 666.

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 (4140759169) 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, 85083 + ... + 124581.

It is an arithmetic number, because the mean of its divisors is an integer number (76383125).

Almost surely, 2^4140759168 is an apocalyptic number.

4140759168 is a gapful number since it is divisible by the number (48) 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 4140759168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332780000).

4140759168 is an abundant number, since it is smaller than the sum of its proper divisors (10524800832).

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

4140759168 is a wasteful number, since it uses less digits than its factorization.

4140759168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39539 (or 39524 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4140759168 is about 64348.7308965764. The cubic root of 4140759168 is about 1605.8069159996.

The spelling of 4140759168 in words is "four billion, one hundred forty million, seven hundred fifty-nine thousand, one hundred sixty-eight".