43680384000 has 880 divisors, whose sum is σ = 178049304576. Its totient is φ = 10561536000.

The previous prime is 43680383993. The next prime is 43680384019. The reversal of 43680384000 is 48308634.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114047809 + ... + 114048191.

Almost surely, 2^43680384000 is an apocalyptic number.

43680384000 is a gapful number since it is divisible by the number (40) 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 43680384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89024652288).

43680384000 is an abundant number, since it is smaller than the sum of its proper divisors (134368920576).

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

43680384000 is a wasteful number, since it uses less digits than its factorization.

43680384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 43680384000 in words is "forty-three billion, six hundred eighty million, three hundred eighty-four thousand".