442671472320 has 504 divisors, whose sum is σ = 1797115107312. Its totient is φ = 91982499840.

The previous prime is 442671472291. The next prime is 442671472351. The reversal of 442671472320 is 23274176244.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 71 ways as a sum of consecutive naturals, for example, 5652954 + ... + 5730726.

It is an arithmetic number, because the mean of its divisors is an integer number (3565704578).

Almost surely, 2^442671472320 is an apocalyptic number.

442671472320 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 442671472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898557553656).

442671472320 is an abundant number, since it is smaller than the sum of its proper divisors (1354443634992).

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

442671472320 is a wasteful number, since it uses less digits than its factorization.

442671472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77829 (or 77801 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 442671472320 in words is "four hundred forty-two billion, six hundred seventy-one million, four hundred seventy-two thousand, three hundred twenty".