11940050304 has 576 divisors, whose sum is σ = 43997793840. Its totient is φ = 3079544832.

The previous prime is 11940050267. The next prime is 11940050359. The reversal of 11940050304 is 40305004911.

11940050304 is a `hidden beast` number, since 119 + 40 + 0 + 503 + 0 + 4 = 666.

11940050304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 38892519 + ... + 38892825.

Almost surely, 2^11940050304 is an apocalyptic number.

11940050304 is a gapful number since it is divisible by the number (14) 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 11940050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998896920).

11940050304 is an abundant number, since it is smaller than the sum of its proper divisors (32057743536).

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

11940050304 is a wasteful number, since it uses less digits than its factorization.

11940050304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11940050304 in words is "eleven billion, nine hundred forty million, fifty thousand, three hundred four".