442404435231500 has 144 divisors (see below), whose sum is σ = 1124138838330144. Its totient is φ = 151657395120000.

The previous prime is 442404435231419. The next prime is 442404435231541. The reversal of 442404435231500 is 5132534404244.

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, 152941607 + ... + 155807393.

It is an arithmetic number, because the mean of its divisors is an integer number (7806519710626).

Almost surely, 2^{442404435231500} 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 442404435231500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562069419165072).

442404435231500 is an abundant number, since it is smaller than the sum of its proper divisors (681734403098644).

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

442404435231500 is a wasteful number, since it uses less digits than its factorization.

442404435231500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872121 (or 2872102 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 41.

Adding to 442404435231500 its reverse (5132534404244), we get a palindrome (447536969635744).

The spelling of 442404435231500 in words is "four hundred forty-two trillion, four hundred four billion, four hundred thirty-five million, two hundred thirty-one thousand, five hundred".