304120413000 has 320 divisors, whose sum is σ = 1083143009520. Its totient is φ = 79567488000.

The previous prime is 304120412987. The next prime is 304120413011. The reversal of 304120413000 is 314021403.

304120413000 is a `hidden beast` number, since 304 + 1 + 20 + 41 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24124923684 + 279995489316 = 155322^2 + 529146^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4257580 + ... + 4328420.

Almost surely, 2^304120413000 is an apocalyptic number.

304120413000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304120413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541571504760).

304120413000 is an abundant number, since it is smaller than the sum of its proper divisors (779022596520).

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

304120413000 is a wasteful number, since it uses less digits than its factorization.

304120413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70927 (or 70904 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 304120413000 its reverse (314021403), we get a palindrome (304434434403).

The spelling of 304120413000 in words is "three hundred four billion, one hundred twenty million, four hundred thirteen thousand".