442023032332300 has 144 divisors (see below), whose sum is σ = 1035465506591040. Its totient is φ = 163280915804160.

The previous prime is 442023032332289. The next prime is 442023032332351. The reversal of 442023032332300 is 3233230320244.

It is a super-2 number, since 2×442023032332300² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1253316784 + ... + 1253669416.

It is an arithmetic number, because the mean of its divisors is an integer number (7190732684660).

Almost surely, 2^{442023032332300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442023032332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517732753295520).

442023032332300 is an abundant number, since it is smaller than the sum of its proper divisors (593442474258740).

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

442023032332300 is a wasteful number, since it uses less digits than its factorization.

442023032332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371492 (or 371485 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 31.

Adding to 442023032332300 its reverse (3233230320244), we get a palindrome (445256262652544).

The spelling of 442023032332300 in words is "four hundred forty-two trillion, twenty-three billion, thirty-two million, three hundred thirty-two thousand, three hundred".