11466383040 has 336 divisors, whose sum is σ = 47726632512. Its totient is φ = 2466643968.

The previous prime is 11466382999. The next prime is 11466383077. The reversal of 11466383040 is 4038366411.

It is a happy number.

11466383040 is a `hidden beast` number, since 1 + 14 + 6 + 638 + 3 + 0 + 4 + 0 = 666.

11466383040 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11466382986 and 11466383004.

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 47 ways as a sum of consecutive naturals, for example, 325992 + ... + 359448.

Almost surely, 2^11466383040 is an apocalyptic number.

11466383040 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 11466383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23863316256).

11466383040 is an abundant number, since it is smaller than the sum of its proper divisors (36260249472).

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

11466383040 is a wasteful number, since it uses less digits than its factorization.

11466383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33504 (or 33491 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 11466383040 in words is "eleven billion, four hundred sixty-six million, three hundred eighty-three thousand, forty".