442326196224 has 448 divisors, whose sum is σ = 1479188304000. Its totient is φ = 129395589120.

The previous prime is 442326196141. The next prime is 442326196283. The reversal of 442326196224 is 422691623244.

442326196224 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 2 + 6 + 19 + 622 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442326196224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70554562 + ... + 70560830.

Almost surely, 2^442326196224 is an apocalyptic number.

442326196224 is a gapful number since it is divisible by the number (44) 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 442326196224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739594152000).

442326196224 is an abundant number, since it is smaller than the sum of its proper divisors (1036862107776).

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

442326196224 is a wasteful number, since it uses less digits than its factorization.

442326196224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6314 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 442326196224 in words is "four hundred forty-two billion, three hundred twenty-six million, one hundred ninety-six thousand, two hundred twenty-four".