442249984512 has 420 divisors, whose sum is σ = 1541213725986. Its totient is φ = 126351912960.

The previous prime is 442249984511. The next prime is 442249984513. The reversal of 442249984512 is 215489942244.

442249984512 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 49 + 9 + 84 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (442249984511) and next prime (442249984513).

It can be written as a sum of positive squares in only one way, i.e., 333603277056 + 108646707456 = 577584^2 + 329616^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (442249984511) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 18277062 + ... + 18301242.

Almost surely, 2^442249984512 is an apocalyptic number.

442249984512 is a gapful number since it is divisible by the number (42) 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 442249984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770606862993).

442249984512 is an abundant number, since it is smaller than the sum of its proper divisors (1098963741474).

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

442249984512 is an frugal number, since it uses more digits than its factorization.

442249984512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24231 (or 24193 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 442249984512 in words is "four hundred forty-two billion, two hundred forty-nine million, nine hundred eighty-four thousand, five hundred twelve".