4217132160 has 160 divisors (see below), whose sum is σ = 15060325500. Its totient is φ = 1124554752.

The previous prime is 4217132131. The next prime is 4217132167. The reversal of 4217132160 is 612317124.

It can be written as a sum of positive squares in 2 ways, for example, as 3511273536 + 705858624 = 59256^2 + 26568^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (4217132167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11166 + ... + 92514.

Almost surely, 2^4217132160 is an apocalyptic number.

4217132160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4217132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530162750).

4217132160 is an abundant number, since it is smaller than the sum of its proper divisors (10843193340).

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

4217132160 is an equidigital number, since it uses as much as digits as its factorization.

4217132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81380 (or 81359 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4217132160 is about 64939.4499514740. The cubic root of 4217132160 is about 1615.6194411525.

Adding to 4217132160 its reverse (612317124), we get a palindrome (4829449284).

The spelling of 4217132160 in words is "four billion, two hundred seventeen million, one hundred thirty-two thousand, one hundred sixty".