16442741266224 has 240 divisors, whose sum is σ = 53180645720832. Its totient is φ = 4263042405888.

The previous prime is 16442741266213. The next prime is 16442741266253. The reversal of 16442741266224 is 42266214724461.

It is a happy number.

It is a super-3 number, since 3×16442741266224³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14664307 + ... + 15745709.

Almost surely, 2^{16442741266224} is an apocalyptic number.

16442741266224 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 16442741266224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26590322860416).

16442741266224 is an abundant number, since it is smaller than the sum of its proper divisors (36737904454608).

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

16442741266224 is a wasteful number, since it uses less digits than its factorization.

16442741266224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081552 (or 1081487 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 51.

The spelling of 16442741266224 in words is "sixteen trillion, four hundred forty-two billion, seven hundred forty-one million, two hundred sixty-six thousand, two hundred twenty-four".