304135413120 has 512 divisors, whose sum is σ = 1342941465600. Its totient is φ = 63196692480.

The previous prime is 304135413097. The next prime is 304135413121. The reversal of 304135413120 is 21314531403.

It is a happy number.

304135413120 is a `hidden beast` number, since 30 + 41 + 3 + 541 + 31 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304135413121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1216272 + ... + 1444848.

It is an arithmetic number, because the mean of its divisors is an integer number (2622932550).

Almost surely, 2^304135413120 is an apocalyptic number.

304135413120 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 304135413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671470732800).

304135413120 is an abundant number, since it is smaller than the sum of its proper divisors (1038806052480).

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

304135413120 is a wasteful number, since it uses less digits than its factorization.

304135413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228623 (or 228605 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 304135413120 its reverse (21314531403), we get a palindrome (325449944523).

The spelling of 304135413120 in words is "three hundred four billion, one hundred thirty-five million, four hundred thirteen thousand, one hundred twenty".