304142024000 has 224 divisors, whose sum is σ = 782365577760. Its totient is φ = 116981760000.

The previous prime is 304142023967. The next prime is 304142024051. The reversal of 304142024000 is 420241403.

It can be written as a sum of positive squares in 16 ways, for example, as 225822643264 + 78319380736 = 475208^2 + 279856^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 59621450 + ... + 59626550.

Almost surely, 2^304142024000 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 304142024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391182788880).

304142024000 is an abundant number, since it is smaller than the sum of its proper divisors (478223553760).

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

304142024000 is a wasteful number, since it uses less digits than its factorization.

304142024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 304142024000 its reverse (420241403), we get a palindrome (304562265403).

The spelling of 304142024000 in words is "three hundred four billion, one hundred forty-two million, twenty-four thousand".