442432440324000 has 864 divisors, whose sum is σ = 1885471951813632. Its totient is φ = 97865228160000.

The previous prime is 442432440323983. The next prime is 442432440324037. The reversal of 442432440324000 is 423044234244.

442432440324000 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 3 + 2 + 4 + 403 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 50638645 + ... + 58729355.

It is an arithmetic number, because the mean of its divisors is an integer number (2182259203488).

Almost surely, 2^{442432440324000} is an apocalyptic number.

442432440324000 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 442432440324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942735975906816).

442432440324000 is an abundant number, since it is smaller than the sum of its proper divisors (1443039511489632).

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

442432440324000 is a wasteful number, since it uses less digits than its factorization.

442432440324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8090787 (or 8090759 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 442432440324000 its reverse (423044234244), we get a palindrome (442855484558244).

The spelling of 442432440324000 in words is "four hundred forty-two trillion, four hundred thirty-two billion, four hundred forty million, three hundred twenty-four thousand".