16442023644000 has 288 divisors, whose sum is σ = 58396885013376. Its totient is φ = 4381222809600.

The previous prime is 16442023643999. The next prime is 16442023644001. The reversal of 16442023644000 is 44632024461.

16442023644000 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 2 + 0 + 2 + 3 + 644 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16442023643999) and next prime (16442023644001).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×16442023644000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442023644001) by changing a digit.

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, 47599912 + ... + 47944088.

It is an arithmetic number, because the mean of its divisors is an integer number (202766961852).

Almost surely, 2^{16442023644000} is an apocalyptic number.

16442023644000 is a gapful number since it is divisible by the number (10) 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 16442023644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29198442506688).

16442023644000 is an abundant number, since it is smaller than the sum of its proper divisors (41954861369376).

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

16442023644000 is a wasteful number, since it uses less digits than its factorization.

16442023644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345535 (or 345514 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 16442023644000 its reverse (44632024461), we get a palindrome (16486655668461).

The spelling of 16442023644000 in words is "sixteen trillion, four hundred forty-two billion, twenty-three million, six hundred forty-four thousand".