442443430400 has 120 divisors (see below), whose sum is σ = 1097796489504. Its totient is φ = 176717721600.

The previous prime is 442443430399. The next prime is 442443430427. The reversal of 442443430400 is 4034344244.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8819789 + ... + 8869811.

Almost surely, 2^442443430400 is an apocalyptic number.

442443430400 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 442443430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548898244752).

442443430400 is an abundant number, since it is smaller than the sum of its proper divisors (655353059104).

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

442443430400 is an equidigital number, since it uses as much as digits as its factorization.

442443430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50742 (or 50721 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 442443430400 its reverse (4034344244), we get a palindrome (446477774644).

The spelling of 442443430400 in words is "four hundred forty-two billion, four hundred forty-three million, four hundred thirty thousand, four hundred".