442432141300 has 36 divisors (see below), whose sum is σ = 960146945100. Its totient is φ = 176960101120.

The previous prime is 442432141259. The next prime is 442432141313. The reversal of 442432141300 is 3141234244.

It can be written as a sum of positive squares in 6 ways, for example, as 542237796 + 441889903504 = 23286^2 + 664748^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1301526 + ... + 1605874.

It is an arithmetic number, because the mean of its divisors is an integer number (26670748475).

Almost surely, 2^442432141300 is an apocalyptic number.

It is an amenable number.

442432141300 is an abundant number, since it is smaller than the sum of its proper divisors (517714803800).

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

442432141300 is a wasteful number, since it uses less digits than its factorization.

442432141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318900 (or 318893 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 442432141300 its reverse (3141234244), we get a palindrome (445573375544).

The spelling of 442432141300 in words is "four hundred forty-two billion, four hundred thirty-two million, one hundred forty-one thousand, three hundred".