442030431434300 has 144 divisors (see below), whose sum is σ = 994686101348352. Its totient is φ = 170324500204800.

The previous prime is 442030431434237. The next prime is 442030431434359. The reversal of 442030431434300 is 3434134030244.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8818889039 + ... + 8818939161.

Almost surely, 2^{442030431434300} 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 442030431434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497343050674176).

442030431434300 is an abundant number, since it is smaller than the sum of its proper divisors (552655669914052).

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

442030431434300 is a wasteful number, since it uses less digits than its factorization.

442030431434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63148 (or 63141 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 442030431434300 its reverse (3434134030244), we get a palindrome (445464565464544).

The spelling of 442030431434300 in words is "four hundred forty-two trillion, thirty billion, four hundred thirty-one million, four hundred thirty-four thousand, three hundred".