42024100300 has 432 divisors, whose sum is σ = 122235801408. Its totient is φ = 12386304000.

The previous prime is 42024100289. The next prime is 42024100373. The reversal of 42024100300 is 300142024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163517772 + ... + 163518028.

It is an arithmetic number, because the mean of its divisors is an integer number (282953244).

Almost surely, 2^42024100300 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 42024100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61117900704).

42024100300 is an abundant number, since it is smaller than the sum of its proper divisors (80211701108).

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

42024100300 is a wasteful number, since it uses less digits than its factorization.

42024100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42024100300 its reverse (300142024), we get a palindrome (42324242324).

The spelling of 42024100300 in words is "forty-two billion, twenty-four million, one hundred thousand, three hundred".