442415050320 has 80 divisors (see below), whose sum is σ = 1377373038912. Its totient is φ = 117470991360.

The previous prime is 442415050309. The next prime is 442415050321. The reversal of 442415050320 is 23050514244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442415050321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3899866 + ... + 4011705.

Almost surely, 2^442415050320 is an apocalyptic number.

442415050320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442415050320 is an abundant number, since it is smaller than the sum of its proper divisors (934957988592).

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

442415050320 is a wasteful number, since it uses less digits than its factorization.

442415050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911820 (or 7911814 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 442415050320 its reverse (23050514244), we get a palindrome (465465564564).

The spelling of 442415050320 in words is "four hundred forty-two billion, four hundred fifteen million, fifty thousand, three hundred twenty".