4111442664 has 128 divisors (see below), whose sum is σ = 12094652160. Its totient is φ = 1140092928.

The previous prime is 4111442663. The next prime is 4111442683. The reversal of 4111442664 is 4662441114.

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

It is not an unprimeable number, because it can be changed into a prime (4111442663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4207744 + ... + 4208720.

It is an arithmetic number, because the mean of its divisors is an integer number (94489470).

Almost surely, 2^4111442664 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 4111442664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047326080).

4111442664 is an abundant number, since it is smaller than the sum of its proper divisors (7983209496).

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

4111442664 is a wasteful number, since it uses less digits than its factorization.

4111442664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1703 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 4111442664 is about 64120.5323122009. The cubic root of 4111442664 is about 1602.0082418400.

Adding to 4111442664 its reverse (4662441114), we get a palindrome (8773883778).

The spelling of 4111442664 in words is "four billion, one hundred eleven million, four hundred forty-two thousand, six hundred sixty-four".