4136416560 has 60 divisors (see below), whose sum is σ = 13891468032. Its totient is φ = 1103044224.

The previous prime is 4136416549. The next prime is 4136416573. The reversal of 4136416560 is 656146314.

It is a happy number.

4136416560 is a `hidden beast` number, since 4 + 1 + 3 + 641 + 6 + 5 + 6 + 0 = 666.

4136416560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2871792 + ... + 2873231.

Almost surely, 2^4136416560 is an apocalyptic number.

4136416560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4136416560 is an abundant number, since it is smaller than the sum of its proper divisors (9755051472).

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

4136416560 is a wasteful number, since it uses less digits than its factorization.

4136416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745042 (or 5745033 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4136416560 is about 64314.9792816572. The cubic root of 4136416560 is about 1605.2453580121.

The spelling of 4136416560 in words is "four billion, one hundred thirty-six million, four hundred sixteen thousand, five hundred sixty".