442820340672 has 448 divisors, whose sum is σ = 1256450949120. Its totient is φ = 137492619264.

The previous prime is 442820340629. The next prime is 442820340713. The reversal of 442820340672 is 276043028244.

It is a super-3 number, since 3×442820340672³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 63 ways as a sum of consecutive naturals, for example, 3486774273 + ... + 3486774399.

Almost surely, 2^442820340672 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 442820340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628225474560).

442820340672 is an abundant number, since it is smaller than the sum of its proper divisors (813630608448).

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

442820340672 is a wasteful number, since it uses less digits than its factorization.

442820340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 442820340672 in words is "four hundred forty-two billion, eight hundred twenty million, three hundred forty thousand, six hundred seventy-two".