442488648450048 has 240 divisors, whose sum is σ = 1181785977731520. Its totient is φ = 147264897024000.

The previous prime is 442488648450029. The next prime is 442488648450049. The reversal of 442488648450048 is 840054846884244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442488648450049) 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, 142325070318 + ... + 142325073426.

It is an arithmetic number, because the mean of its divisors is an integer number (4924108240548).

Almost surely, 2^{442488648450048} is an apocalyptic number.

442488648450048 is a gapful number since it is divisible by the number (48) 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 442488648450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590892988865760).

442488648450048 is an abundant number, since it is smaller than the sum of its proper divisors (739297329281472).

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

442488648450048 is a wasteful number, since it uses less digits than its factorization.

442488648450048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 1006632960, while the sum is 69.

The spelling of 442488648450048 in words is "four hundred forty-two trillion, four hundred eighty-eight billion, six hundred forty-eight million, four hundred fifty thousand, forty-eight".