4171064832 has 480 divisors, whose sum is σ = 14248016640. Its totient is φ = 1161216000.

The previous prime is 4171064791. The next prime is 4171064837. The reversal of 4171064832 is 2384601714.

4171064832 is a `hidden beast` number, since 4 + 1 + 7 + 1 + 0 + 648 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4171064837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58747357 + ... + 58747427.

It is an arithmetic number, because the mean of its divisors is an integer number (29683368).

Almost surely, 2^4171064832 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 4171064832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124008320).

4171064832 is an abundant number, since it is smaller than the sum of its proper divisors (10076951808).

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

4171064832 is a wasteful number, since it uses less digits than its factorization.

4171064832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4171064832 is about 64583.7814934988. The cubic root of 4171064832 is about 1609.7149595045.

The spelling of 4171064832 in words is "four billion, one hundred seventy-one million, sixty-four thousand, eight hundred thirty-two".