4114311664 has 80 divisors (see below), whose sum is σ = 8455039200. Its totient is φ = 1936535552.

The previous prime is 4114311653. The next prime is 4114311671. The reversal of 4114311664 is 4661134114.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3749964 + ... + 3751060.

It is an arithmetic number, because the mean of its divisors is an integer number (105687990).

Almost surely, 2^4114311664 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 4114311664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227519600).

4114311664 is an abundant number, since it is smaller than the sum of its proper divisors (4340727536).

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

4114311664 is a wasteful number, since it uses less digits than its factorization.

4114311664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 4114311664 is about 64142.9003397882. The cubic root of 4114311664 is about 1602.3807869015.

Adding to 4114311664 its reverse (4661134114), we get a palindrome (8775445778).

The spelling of 4114311664 in words is "four billion, one hundred fourteen million, three hundred eleven thousand, six hundred sixty-four".