442431314030300 has 288 divisors, whose sum is σ = 1138072164969600. Its totient is φ = 146128505241600.

The previous prime is 442431314030281. The next prime is 442431314030311. The reversal of 442431314030300 is 3030413134244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2753944376 + ... + 2754105024.

It is an arithmetic number, because the mean of its divisors is an integer number (3951639461700).

Almost surely, 2^{442431314030300} 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 442431314030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569036082484800).

442431314030300 is an abundant number, since it is smaller than the sum of its proper divisors (695640850939300).

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

442431314030300 is a wasteful number, since it uses less digits than its factorization.

442431314030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161761 (or 161754 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 442431314030300 its reverse (3030413134244), we get a palindrome (445461727164544).

The spelling of 442431314030300 in words is "four hundred forty-two trillion, four hundred thirty-one billion, three hundred fourteen million, thirty thousand, three hundred".