442424320000 has 840 divisors, whose sum is σ = 1319842527696. Its totient is φ = 147062784000.

The previous prime is 442424319991. The next prime is 442424320043. The reversal of 442424320000 is 23424244.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19235839989 + ... + 19235840011.

Almost surely, 2^442424320000 is an apocalyptic number.

442424320000 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 442424320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659921263848).

442424320000 is an abundant number, since it is smaller than the sum of its proper divisors (877418207696).

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

442424320000 is an equidigital number, since it uses as much as digits as its factorization.

442424320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 442424320000 its reverse (23424244), we get a palindrome (442447744244).

The spelling of 442424320000 in words is "four hundred forty-two billion, four hundred twenty-four million, three hundred twenty thousand".