4134211164 has 120 divisors (see below), whose sum is σ = 11469992688. Its totient is φ = 1293995520.

The previous prime is 4134211127. The next prime is 4134211189. The reversal of 4134211164 is 4611124314.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4257199 + ... + 4258169.

Almost surely, 2^4134211164 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 4134211164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734996344).

4134211164 is an abundant number, since it is smaller than the sum of its proper divisors (7335781524).

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

4134211164 is a wasteful number, since it uses less digits than its factorization.

4134211164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1766 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4134211164 is about 64297.8317208287. The cubic root of 4134211164 is about 1604.9600199666.

Adding to 4134211164 its reverse (4611124314), we get a palindrome (8745335478).

The spelling of 4134211164 in words is "four billion, one hundred thirty-four million, two hundred eleven thousand, one hundred sixty-four".