304400034311120 has 640 divisors, whose sum is σ = 835708796928000. Its totient is φ = 102017470464000.

The previous prime is 304400034311099. The next prime is 304400034311179. The reversal of 304400034311120 is 21113430004403.

It is a happy number.

It is a super-2 number, since 2×304400034311120² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 304400034311120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93060235085 + ... + 93060238355.

It is an arithmetic number, because the mean of its divisors is an integer number (1305794995200).

Almost surely, 2^{304400034311120} 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 304400034311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417854398464000).

304400034311120 is an abundant number, since it is smaller than the sum of its proper divisors (531308762616880).

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

304400034311120 is a wasteful number, since it uses less digits than its factorization.

304400034311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 304400034311120 its reverse (21113430004403), we get a palindrome (325513464315523).

The spelling of 304400034311120 in words is "three hundred four trillion, four hundred billion, thirty-four million, three hundred eleven thousand, one hundred twenty".