42331304320300 has 288 divisors, whose sum is σ = 95797968537600. Its totient is φ = 16226559498240.

The previous prime is 42331304320259. The next prime is 42331304320303. The reversal of 42331304320300 is 302340313324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42331304320303) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 29417166981 + ... + 29417168419.

It is an arithmetic number, because the mean of its divisors is an integer number (332631835200).

Almost surely, 2^{42331304320300} 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 42331304320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47898984268800).

42331304320300 is an abundant number, since it is smaller than the sum of its proper divisors (53466664217300).

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

42331304320300 is a wasteful number, since it uses less digits than its factorization.

42331304320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 42331304320300 its reverse (302340313324), we get a palindrome (42633644633624).

The spelling of 42331304320300 in words is "forty-two trillion, three hundred thirty-one billion, three hundred four million, three hundred twenty thousand, three hundred".