4171112064 has 192 divisors, whose sum is σ = 14321044800. Its totient is φ = 1191697920.

The previous prime is 4171112059. The next prime is 4171112087. The reversal of 4171112064 is 4602111714.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157029 + ... + 181659.

It is an arithmetic number, because the mean of its divisors is an integer number (74588775).

Almost surely, 2^4171112064 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 4171112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160522400).

4171112064 is an abundant number, since it is smaller than the sum of its proper divisors (10149932736).

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

4171112064 is a wasteful number, since it uses less digits than its factorization.

4171112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24668 (or 24643 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4171112064 is about 64584.1471570230. The cubic root of 4171112064 is about 1609.7210354726.

Adding to 4171112064 its reverse (4602111714), we get a palindrome (8773223778).

The spelling of 4171112064 in words is "four billion, one hundred seventy-one million, one hundred twelve thousand, sixty-four".