4117814064 has 640 divisors, whose sum is σ = 15832320000. Its totient is φ = 994332672.

The previous prime is 4117814059. The next prime is 4117814087. The reversal of 4117814064 is 4604187114.

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

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 127 ways as a sum of consecutive naturals, for example, 27636262 + ... + 27636410.

It is an arithmetic number, because the mean of its divisors is an integer number (24738000).

Almost surely, 2^4117814064 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 4117814064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916160000).

4117814064 is an abundant number, since it is smaller than the sum of its proper divisors (11714505936).

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

4117814064 is a wasteful number, since it uses less digits than its factorization.

4117814064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4117814064 is about 64170.1960726317. The cubic root of 4117814064 is about 1602.8353454588.

The spelling of 4117814064 in words is "four billion, one hundred seventeen million, eight hundred fourteen thousand, sixty-four".