442938941942016 has 288 divisors, whose sum is σ = 1277243872410240. Its totient is φ = 136269011214336.

The previous prime is 442938941941999. The next prime is 442938941942033. The reversal of 442938941942016 is 610249149839244.

It is an interprime number because it is at equal distance from previous prime (442938941941999) and next prime (442938941942033).

It is a super-2 number, since 2×442938941942016² (a number of 30 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 15072600475 + ... + 15072629861.

It is an arithmetic number, because the mean of its divisors is an integer number (4434874556980).

Almost surely, 2^{442938941942016} 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 442938941942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638621936205120).

442938941942016 is an abundant number, since it is smaller than the sum of its proper divisors (834304930468224).

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

442938941942016 is an equidigital number, since it uses as much as digits as its factorization.

442938941942016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38378 (or 38338 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 442938941942016 in words is "four hundred forty-two trillion, nine hundred thirty-eight billion, nine hundred forty-one million, nine hundred forty-two thousand, sixteen".