442420013440000 has 220 divisors, whose sum is σ = 1105261211591064. Its totient is φ = 176951191552000.

The previous prime is 442420013439941. The next prime is 442420013440007. The reversal of 442420013440000 is 44310024244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442420013440007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8424293742 + ... + 8424346258.

Almost surely, 2^{442420013440000} is an apocalyptic number.

442420013440000 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 442420013440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552630605795532).

442420013440000 is an abundant number, since it is smaller than the sum of its proper divisors (662841198151064).

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

442420013440000 is an equidigital number, since it uses as much as digits as its factorization.

442420013440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65720 (or 65687 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 442420013440000 its reverse (44310024244), we get a palindrome (442464323464244).

The spelling of 442420013440000 in words is "four hundred forty-two trillion, four hundred twenty billion, thirteen million, four hundred forty thousand".