442421334002320 has 40 divisors (see below), whose sum is σ = 1028631351007224. Its totient is φ = 176968232620032.

The previous prime is 442421334002303. The next prime is 442421334002339. The reversal of 442421334002320 is 23200433124244.

It can be written as a sum of positive squares in 4 ways, for example, as 17002493534464 + 425418840467856 = 4123408^2 + 20625684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46028032 + ... + 54803488.

Almost surely, 2^{442421334002320} is an apocalyptic number.

442421334002320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442421334002320 is an abundant number, since it is smaller than the sum of its proper divisors (586210017004904).

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

442421334002320 is a wasteful number, since it uses less digits than its factorization.

442421334002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405667 (or 9405661 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 442421334002320 its reverse (23200433124244), we get a palindrome (465621767126564).

The spelling of 442421334002320 in words is "four hundred forty-two trillion, four hundred twenty-one billion, three hundred thirty-four million, two thousand, three hundred twenty".