442215441760 has 96 divisors (see below), whose sum is σ = 1056600084960. Its totient is φ = 174880899072.

The previous prime is 442215441749. The next prime is 442215441817. The reversal of 442215441760 is 67144512244.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15459151 + ... + 15487729.

It is an arithmetic number, because the mean of its divisors is an integer number (11006250885).

Almost surely, 2^442215441760 is an apocalyptic number.

442215441760 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 442215441760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528300042480).

442215441760 is an abundant number, since it is smaller than the sum of its proper divisors (614384643200).

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

442215441760 is a wasteful number, since it uses less digits than its factorization.

442215441760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29688 (or 29680 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 442215441760 in words is "four hundred forty-two billion, two hundred fifteen million, four hundred forty-one thousand, seven hundred sixty".