16441012224 has 624 divisors, whose sum is σ = 60823089600. Its totient is φ = 4186570752.

The previous prime is 16441012193. The next prime is 16441012229. The reversal of 16441012224 is 42221014461.

16441012224 is a `hidden beast` number, since 1 + 644 + 1 + 0 + 12 + 2 + 2 + 4 = 666.

16441012224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-3 number, since 3×16441012224³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16441012229) 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 47 ways as a sum of consecutive naturals, for example, 566931442 + ... + 566931470.

It is an arithmetic number, because the mean of its divisors is an integer number (97472900).

Almost surely, 2^16441012224 is an apocalyptic number.

16441012224 is a gapful number since it is divisible by the number (14) 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 16441012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30411544800).

16441012224 is an abundant number, since it is smaller than the sum of its proper divisors (44382077376).

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

16441012224 is an equidigital number, since it uses as much as digits as its factorization.

16441012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 16441012224 its reverse (42221014461), we get a palindrome (58662026685).

The spelling of 16441012224 in words is "sixteen billion, four hundred forty-one million, twelve thousand, two hundred twenty-four".