304142304120444 has 288 divisors, whose sum is σ = 786234634698240. Its totient is φ = 99109319468544.

The previous prime is 304142304120419. The next prime is 304142304120503. The reversal of 304142304120444 is 444021403241403.

304142304120444 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 4 + 230 + 412 + 0 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 304142304120399 and 304142304120408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261515308207 + ... + 261515309369.

It is an arithmetic number, because the mean of its divisors is an integer number (2729981370480).

Almost surely, 2^{304142304120444} 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 304142304120444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393117317349120).

304142304120444 is an abundant number, since it is smaller than the sum of its proper divisors (482092330577796).

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

304142304120444 is a wasteful number, since it uses less digits than its factorization.

304142304120444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 304142304120444 its reverse (444021403241403), we get a palindrome (748163707361847).

The spelling of 304142304120444 in words is "three hundred four trillion, one hundred forty-two billion, three hundred four million, one hundred twenty thousand, four hundred forty-four".