4001116544 has 64 divisors (see below), whose sum is σ = 8262000000. Its totient is φ = 1927790592.

The previous prime is 4001116507. The next prime is 4001116633. The reversal of 4001116544 is 4456111004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3202832 + ... + 3204080.

It is an arithmetic number, because the mean of its divisors is an integer number (129093750).

Almost surely, 2^4001116544 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 4001116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131000000).

4001116544 is an abundant number, since it is smaller than the sum of its proper divisors (4260883456).

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

4001116544 is a wasteful number, since it uses less digits than its factorization.

4001116544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 4001116544 is about 63254.3796428358. The cubic root of 4001116544 is about 1587.5487384875.

Adding to 4001116544 its reverse (4456111004), we get a palindrome (8457227548).

The spelling of 4001116544 in words is "four billion, one million, one hundred sixteen thousand, five hundred forty-four".