4116815712 has 96 divisors (see below), whose sum is σ = 12020248800. Its totient is φ = 1370801664.

The previous prime is 4116815707. The next prime is 4116815723. The reversal of 4116815712 is 2175186114.

4116815712 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 81 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1059918 + ... + 1063794.

It is an arithmetic number, because the mean of its divisors is an integer number (125210925).

Almost surely, 2^4116815712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4116815712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010124400).

4116815712 is an abundant number, since it is smaller than the sum of its proper divisors (7903433088).

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

4116815712 is a wasteful number, since it uses less digits than its factorization.

4116815712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125 (or 5111 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 4116815712 is about 64162.4166627162. The cubic root of 4116815712 is about 1602.7058007387.

The spelling of 4116815712 in words is "four billion, one hundred sixteen million, eight hundred fifteen thousand, seven hundred twelve".