442489169789016 has 384 divisors, whose sum is σ = 1333251114624000. Its totient is φ = 121878440183808.

The previous prime is 442489169788949. The next prime is 442489169789039. The reversal of 442489169789016 is 610987961984244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109880596395 + ... + 109880600421.

It is an arithmetic number, because the mean of its divisors is an integer number (3472008111000).

Almost surely, 2^{442489169789016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442489169789016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666625557312000).

442489169789016 is an abundant number, since it is smaller than the sum of its proper divisors (890761944834984).

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

442489169789016 is a wasteful number, since it uses less digits than its factorization.

442489169789016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 78.

The spelling of 442489169789016 in words is "four hundred forty-two trillion, four hundred eighty-nine billion, one hundred sixty-nine million, seven hundred eighty-nine thousand, sixteen".