4161715560 has 96 divisors (see below), whose sum is σ = 13538004480. Its totient is φ = 1108771200.

The previous prime is 4161715541. The next prime is 4161715567. The reversal of 4161715560 is 655171614.

It is a happy number.

4161715560 is a `hidden beast` number, since 41 + 61 + 7 + 1 + 556 + 0 = 666.

It is a super-2 number, since 2×4161715560² = 34639752804692227200, which contains 22 as substring.

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 (4161715567) 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, 438465 + ... + 447855.

It is an arithmetic number, because the mean of its divisors is an integer number (141020880).

Almost surely, 2^4161715560 is an apocalyptic number.

4161715560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4161715560 is an abundant number, since it is smaller than the sum of its proper divisors (9376288920).

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

4161715560 is a wasteful number, since it uses less digits than its factorization.

4161715560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10639 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 4161715560 is about 64511.3599298604. The cubic root of 4161715560 is about 1608.5113562656.

The spelling of 4161715560 in words is "four billion, one hundred sixty-one million, seven hundred fifteen thousand, five hundred sixty".