43286516864640 has 1536 divisors, whose sum is σ = 189090926668800. Its totient is φ = 9299017728000.

The previous prime is 43286516864639. The next prime is 43286516864663. The reversal of 43286516864640 is 4646861568234.

43286516864640 is a `hidden beast` number, since 4 + 3 + 2 + 8 + 6 + 5 + 168 + 6 + 464 + 0 = 666.

43286516864640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13113150990 + ... + 13113154290.

It is an arithmetic number, because the mean of its divisors is an integer number (123106072050).

Almost surely, 2^{43286516864640} is an apocalyptic number.

43286516864640 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 43286516864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94545463334400).

43286516864640 is an abundant number, since it is smaller than the sum of its proper divisors (145804409804160).

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

43286516864640 is a wasteful number, since it uses less digits than its factorization.

43286516864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 43286516864640 in words is "forty-three trillion, two hundred eighty-six billion, five hundred sixteen million, eight hundred sixty-four thousand, six hundred forty".