11441130410016 has 144 divisors (see below), whose sum is σ = 33212206669824. Its totient is φ = 3735072456192.

The previous prime is 11441130409997. The next prime is 11441130410027. The reversal of 11441130410016 is 61001403114411.

11441130410016 is a `hidden beast` number, since 114 + 4 + 1 + 130 + 410 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1624545 + ... + 5051871.

It is an arithmetic number, because the mean of its divisors is an integer number (230640324096).

Almost surely, 2^{11441130410016} is an apocalyptic number.

11441130410016 is a gapful number since it is divisible by the number (16) 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 11441130410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606103334912).

11441130410016 is an abundant number, since it is smaller than the sum of its proper divisors (21771076259808).

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

11441130410016 is a wasteful number, since it uses less digits than its factorization.

11441130410016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427583 (or 3427572 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11441130410016 its reverse (61001403114411), we get a palindrome (72442533524427).

It can be divided in two parts, 11441130 and 410016, that added together give a triangular number (11851146 = T₄₈₆₈).

The spelling of 11441130410016 in words is "eleven trillion, four hundred forty-one billion, one hundred thirty million, four hundred ten thousand, sixteen".