442042042311320 has 64 divisors (see below), whose sum is σ = 1120012682019840. Its totient is φ = 155557316937600.

The previous prime is 442042042311313. The next prime is 442042042311349. The reversal of 442042042311320 is 23113240240244.

It is a happy number.

It is a super-2 number, since 2×442042042311320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16203873542 + ... + 16203900821.

It is an arithmetic number, because the mean of its divisors is an integer number (17500198156560).

Almost surely, 2^{442042042311320} is an apocalyptic number.

442042042311320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442042042311320 is an abundant number, since it is smaller than the sum of its proper divisors (677970639708520).

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

442042042311320 is a wasteful number, since it uses less digits than its factorization.

442042042311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32407774416 (or 32407774412 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 442042042311320 its reverse (23113240240244), we get a palindrome (465155282551564).

The spelling of 442042042311320 in words is "four hundred forty-two trillion, forty-two billion, forty-two million, three hundred eleven thousand, three hundred twenty".