304013041020 has 960 divisors, whose sum is σ = 1129545648000. Its totient is φ = 67761930240.

The previous prime is 304013041001. The next prime is 304013041039. The reversal of 304013041020 is 20140310403.

It is an interprime number because it is at equal distance from previous prime (304013041001) and next prime (304013041039).

It is a super-2 number, since 2×304013041020² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 304013040984 and 304013041002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2040355906 + ... + 2040356054.

It is an arithmetic number, because the mean of its divisors is an integer number (1176610050).

Almost surely, 2^304013041020 is an apocalyptic number.

304013041020 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 304013041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564772824000).

304013041020 is an abundant number, since it is smaller than the sum of its proper divisors (825532606980).

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

304013041020 is a wasteful number, since it uses less digits than its factorization.

304013041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

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

Adding to 304013041020 its reverse (20140310403), we get a palindrome (324153351423).

The spelling of 304013041020 in words is "three hundred four billion, thirteen million, forty-one thousand, twenty".