16442742120321 has 16 divisors (see below), whose sum is σ = 23917454016768. Its totient is φ = 9964990669200.

The previous prime is 16442742120307. The next prime is 16442742120397. The reversal of 16442742120321 is 12302124724461.

It is not a de Polignac number, because 16442742120321 - 2¹⁵ = 16442742087553 is a prime.

It is a super-3 number, since 3×16442742120321³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 16442742120321.

It is not an unprimeable number, because it can be changed into a prime (16442742120221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6601995 + ... + 8744816.

It is an arithmetic number, because the mean of its divisors is an integer number (1494840876048).

Almost surely, 2^{16442742120321} is an apocalyptic number.

16442742120321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16442742120321 is a deficient number, since it is larger than the sum of its proper divisors (7474711896447).

16442742120321 is a wasteful number, since it uses less digits than its factorization.

16442742120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15379292.

The product of its (nonzero) digits is 129024, while the sum is 39.

Adding to 16442742120321 its reverse (12302124724461), we get a palindrome (28744866844782).

The spelling of 16442742120321 in words is "sixteen trillion, four hundred forty-two billion, seven hundred forty-two million, one hundred twenty thousand, three hundred twenty-one".