442285359312720 has 640 divisors, whose sum is σ = 1732982485450752. Its totient is φ = 90643371264000.

The previous prime is 442285359312673. The next prime is 442285359312733. The reversal of 442285359312720 is 27213953582244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448368045 + ... + 449353395.

Almost surely, 2^{442285359312720} is an apocalyptic number.

442285359312720 is a gapful number since it is divisible by the number (40) 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 442285359312720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866491242725376).

442285359312720 is an abundant number, since it is smaller than the sum of its proper divisors (1290697126138032).

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

442285359312720 is a wasteful number, since it uses less digits than its factorization.

442285359312720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985719 (or 985713 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 442285359312720 in words is "four hundred forty-two trillion, two hundred eighty-five billion, three hundred fifty-nine million, three hundred twelve thousand, seven hundred twenty".