11304120340416 has 112 divisors (see below), whose sum is σ = 30087345325824. Its totient is φ = 3745579155456.

The previous prime is 11304120340379. The next prime is 11304120340417. The reversal of 11304120340416 is 61404302140311.

11304120340416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11304120340416³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304120340417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47423965 + ... + 47661731.

Almost surely, 2^{11304120340416} is an apocalyptic number.

11304120340416 is a gapful number since it is divisible by the number (16) 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 11304120340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15043672662912).

11304120340416 is an abundant number, since it is smaller than the sum of its proper divisors (18783224985408).

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

11304120340416 is a wasteful number, since it uses less digits than its factorization.

11304120340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239258 (or 239248 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 11304120340416 its reverse (61404302140311), we get a palindrome (72708422480727).

The spelling of 11304120340416 in words is "eleven trillion, three hundred four billion, one hundred twenty million, three hundred forty thousand, four hundred sixteen".