4160086560 has 384 divisors, whose sum is σ = 17000202240. Its totient is φ = 930327552.

The previous prime is 4160086529. The next prime is 4160086561. The reversal of 4160086560 is 656800614.

4160086560 is a `hidden beast` number, since 4 + 16 + 0 + 0 + 86 + 560 = 666.

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 (4160086561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1419817 + ... + 1422743.

It is an arithmetic number, because the mean of its divisors is an integer number (44271360).

Almost surely, 2^4160086560 is an apocalyptic number.

4160086560 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 4160086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500101120).

4160086560 is an abundant number, since it is smaller than the sum of its proper divisors (12840115680).

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

4160086560 is a wasteful number, since it uses less digits than its factorization.

4160086560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4160086560 is about 64498.7330108119. The cubic root of 4160086560 is about 1608.3014582948.

The spelling of 4160086560 in words is "four billion, one hundred sixty million, eighty-six thousand, five hundred sixty".