43643312640 has 480 divisors, whose sum is σ = 158290868736. Its totient is φ = 11101470720.

The previous prime is 43643312627. The next prime is 43643312651. The reversal of 43643312640 is 4621334634.

43643312640 is a `hidden beast` number, since 4 + 3 + 6 + 4 + 3 + 3 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 43643312595 and 43643312604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44397589 + ... + 44398571.

Almost surely, 2^43643312640 is an apocalyptic number.

43643312640 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 43643312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79145434368).

43643312640 is an abundant number, since it is smaller than the sum of its proper divisors (114647556096).

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

43643312640 is a wasteful number, since it uses less digits than its factorization.

43643312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 43643312640 in words is "forty-three billion, six hundred forty-three million, three hundred twelve thousand, six hundred forty".