304414042144 has 72 divisors (see below), whose sum is σ = 627040677060. Its totient is φ = 145303775232.

The previous prime is 304414042123. The next prime is 304414042181. The reversal of 304414042144 is 441240414403.

It can be written as a sum of positive squares in 6 ways, for example, as 104336752144 + 200077290000 = 323012^2 + 447300^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7329982 + ... + 7371394.

Almost surely, 2^304414042144 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 304414042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313520338530).

304414042144 is an abundant number, since it is smaller than the sum of its proper divisors (322626634916).

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

304414042144 is an equidigital number, since it uses as much as digits as its factorization.

304414042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41630 (or 41533 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 304414042144 its reverse (441240414403), we get a palindrome (745654456547).

The spelling of 304414042144 in words is "three hundred four billion, four hundred fourteen million, forty-two thousand, one hundred forty-four".