16442024121336 has 128 divisors (see below), whose sum is σ = 44886542688000. Its totient is φ = 4977472250880.

The previous prime is 16442024121323. The next prime is 16442024121337. The reversal of 16442024121336 is 63312142024461.

It is a super-3 number, since 3×16442024121336³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16442024121294 and 16442024121303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442024121337) 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 31 ways as a sum of consecutive naturals, for example, 1269353836 + ... + 1269366788.

It is an arithmetic number, because the mean of its divisors is an integer number (350676114750).

Almost surely, 2^{16442024121336} is an apocalyptic number.

It is an amenable number.

16442024121336 is an abundant number, since it is smaller than the sum of its proper divisors (28444518566664).

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

16442024121336 is a wasteful number, since it uses less digits than its factorization.

16442024121336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17389 (or 17385 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 16442024121336 its reverse (63312142024461), we get a palindrome (79754166145797).

The spelling of 16442024121336 in words is "sixteen trillion, four hundred forty-two billion, twenty-four million, one hundred twenty-one thousand, three hundred thirty-six".