300241040000 has 320 divisors, whose sum is σ = 858342117600. Its totient is φ = 103426560000.

The previous prime is 300241039991. The next prime is 300241040041. The reversal of 300241040000 is 40142003.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 16711022 + ... + 16728978.

Almost surely, 2^300241040000 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 300241040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429171058800).

300241040000 is an abundant number, since it is smaller than the sum of its proper divisors (558101077600).

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

300241040000 is a wasteful number, since it uses less digits than its factorization.

300241040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18021 (or 17994 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 300241040000 its reverse (40142003), we get a palindrome (300281182003).

The spelling of 300241040000 in words is "three hundred billion, two hundred forty-one million, forty thousand".