4211417160 has 96 divisors (see below), whose sum is σ = 13744181880. Its totient is φ = 1118361600.

The previous prime is 4211417137. The next prime is 4211417167. The reversal of 4211417160 is 617141124.

4211417160 is a `hidden beast` number, since 421 + 14 + 171 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2615095044 + 1596322116 = 51138^2 + 39954^2 .

It is not an unprimeable number, because it can be changed into a prime (4211417167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62490 + ... + 111030.

Almost surely, 2^4211417160 is an apocalyptic number.

4211417160 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 4211417160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6872090940).

4211417160 is an abundant number, since it is smaller than the sum of its proper divisors (9532764720).

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

4211417160 is a wasteful number, since it uses less digits than its factorization.

4211417160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48799 (or 48792 counting only the distinct ones).

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

The square root of 4211417160 is about 64895.4325049152. The cubic root of 4211417160 is about 1614.8892894104.

Adding to 4211417160 its reverse (617141124), we get a palindrome (4828558284).

The spelling of 4211417160 in words is "four billion, two hundred eleven million, four hundred seventeen thousand, one hundred sixty".