11873905440 has 48 divisors (see below), whose sum is σ = 37402803648. Its totient is φ = 3166374656.

The previous prime is 11873905367. The next prime is 11873905441. The reversal of 11873905440 is 4450937811.

It is a happy number.

11873905440 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 11873905392 and 11873905401.

It is not an unprimeable number, because it can be changed into a prime (11873905441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12368172 + ... + 12369131.

It is an arithmetic number, because the mean of its divisors is an integer number (779225076).

Almost surely, 2^11873905440 is an apocalyptic number.

11873905440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11873905440 is an abundant number, since it is smaller than the sum of its proper divisors (25528898208).

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

11873905440 is a wasteful number, since it uses less digits than its factorization.

11873905440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24737321 (or 24737313 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 11873905440 in words is "eleven billion, eight hundred seventy-three million, nine hundred five thousand, four hundred forty".