11304414120420 has 48 divisors (see below), whose sum is σ = 35169288376320. Its totient is φ = 3014510431968.

The previous prime is 11304414120407. The next prime is 11304414120457. The reversal of 11304414120420 is 2402141440311.

11304414120420 is a `hidden beast` number, since 1 + 13 + 0 + 441 + 4 + 1 + 204 + 2 + 0 = 666.

It is a super-3 number, since 3×11304414120420³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10467049572 + ... + 10467050651.

It is an arithmetic number, because the mean of its divisors is an integer number (732693507840).

Almost surely, 2^{11304414120420} is an apocalyptic number.

11304414120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11304414120420 is an abundant number, since it is smaller than the sum of its proper divisors (23864874255900).

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

11304414120420 is a wasteful number, since it uses less digits than its factorization.

11304414120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20934100241 (or 20934100233 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11304414120420 its reverse (2402141440311), we get a palindrome (13706555560731).

The spelling of 11304414120420 in words is "eleven trillion, three hundred four billion, four hundred fourteen million, one hundred twenty thousand, four hundred twenty".