11643711440 has 80 divisors (see below), whose sum is σ = 27544237056. Its totient is φ = 4576780800.

The previous prime is 11643711437. The next prime is 11643711463. The reversal of 11643711440 is 4411734611.

11643711440 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 11643711397 and 11643711406.

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 15 ways as a sum of consecutive naturals, for example, 1263650 + ... + 1272830.

Almost surely, 2^11643711440 is an apocalyptic number.

11643711440 is a gapful number since it is divisible by the number (10) 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 11643711440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13772118528).

11643711440 is an abundant number, since it is smaller than the sum of its proper divisors (15900525616).

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

11643711440 is a wasteful number, since it uses less digits than its factorization.

11643711440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9468 (or 9462 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 11643711440 in words is "eleven billion, six hundred forty-three million, seven hundred eleven thousand, four hundred forty".