4158171072 has 224 divisors, whose sum is σ = 13399983360. Its totient is φ = 1253975040.

The previous prime is 4158171067. The next prime is 4158171077. The reversal of 4158171072 is 2701718514.

4158171072 is a `hidden beast` number, since 4 + 1 + 581 + 7 + 1 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (4158171067) and next prime (4158171077).

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 (4158171077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5378878 + ... + 5379650.

Almost surely, 2^4158171072 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 4158171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699991680).

4158171072 is an abundant number, since it is smaller than the sum of its proper divisors (9241812288).

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

4158171072 is a wasteful number, since it uses less digits than its factorization.

4158171072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 4158171072 is about 64483.8822652607. The cubic root of 4158171072 is about 1608.0545760046.

Adding to 4158171072 its reverse (2701718514), we get a palindrome (6859889586).

The spelling of 4158171072 in words is "four billion, one hundred fifty-eight million, one hundred seventy-one thousand, seventy-two".