4160041560 has 192 divisors, whose sum is σ = 13775767200. Its totient is φ = 1088575488.

The previous prime is 4160041553. The next prime is 4160041637. The reversal of 4160041560 is 651400614.

4160041560 is a `hidden beast` number, since 4 + 1 + 60 + 0 + 41 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5029867 + ... + 5030693.

Almost surely, 2^4160041560 is an apocalyptic number.

4160041560 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 4160041560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887883600).

4160041560 is an abundant number, since it is smaller than the sum of its proper divisors (9615725640).

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

4160041560 is a wasteful number, since it uses less digits than its factorization.

4160041560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4160041560 is about 64498.3841658068. The cubic root of 4160041560 is about 1608.2956592307.

The spelling of 4160041560 in words is "four billion, one hundred sixty million, forty-one thousand, five hundred sixty".