16442417152320 has 896 divisors, whose sum is σ = 57953764915200. Its totient is φ = 3932552429568.

The previous prime is 16442417152313. The next prime is 16442417152361. The reversal of 16442417152320 is 2325171424461.

It is a super-3 number, since 3×16442417152320³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5755132332 + ... + 5755135188.

It is an arithmetic number, because the mean of its divisors is an integer number (64680541200).

Almost surely, 2^{16442417152320} is an apocalyptic number.

16442417152320 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 16442417152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28976882457600).

16442417152320 is an abundant number, since it is smaller than the sum of its proper divisors (41511347762880).

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

16442417152320 is a wasteful number, since it uses less digits than its factorization.

16442417152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

Adding to 16442417152320 its reverse (2325171424461), we get a palindrome (18767588576781).

The spelling of 16442417152320 in words is "sixteen trillion, four hundred forty-two billion, four hundred seventeen million, one hundred fifty-two thousand, three hundred twenty".