442431114032300 has 72 divisors (see below), whose sum is σ = 973687766994432. Its totient is φ = 174463736328000.

The previous prime is 442431114032293. The next prime is 442431114032363. The reversal of 442431114032300 is 3230411134244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74023439 + ... + 79776761.

It is an arithmetic number, because the mean of its divisors is an integer number (13523441208256).

Almost surely, 2^{442431114032300} 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 442431114032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486843883497216).

442431114032300 is an abundant number, since it is smaller than the sum of its proper divisors (531256652962132).

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

442431114032300 is a wasteful number, since it uses less digits than its factorization.

442431114032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764239 (or 5764232 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 442431114032300 its reverse (3230411134244), we get a palindrome (445661525166544).

The spelling of 442431114032300 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred fourteen million, thirty-two thousand, three hundred".