442419521280 has 432 divisors, whose sum is σ = 1620672883200. Its totient is φ = 102587555840.

The previous prime is 442419521239. The next prime is 442419521287. The reversal of 442419521280 is 82125914244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442419521287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10666021 + ... + 10707419.

It is an arithmetic number, because the mean of its divisors is an integer number (3751557600).

Almost surely, 2^442419521280 is an apocalyptic number.

442419521280 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 442419521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810336441600).

442419521280 is an abundant number, since it is smaller than the sum of its proper divisors (1178253361920).

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

442419521280 is a wasteful number, since it uses less digits than its factorization.

442419521280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41468 (or 41443 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 442419521280 in words is "four hundred forty-two billion, four hundred nineteen million, five hundred twenty-one thousand, two hundred eighty".