43771428864 has 272 divisors, whose sum is σ = 134321560800. Its totient is φ = 14070841344.

The previous prime is 43771428839. The next prime is 43771428917. The reversal of 43771428864 is 46882417734.

43771428864 is a `hidden beast` number, since 437 + 7 + 142 + 8 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 43771428864.

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 15 ways as a sum of consecutive naturals, for example, 51314262 + ... + 51315114.

Almost surely, 2^43771428864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43771428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67160780400).

43771428864 is an abundant number, since it is smaller than the sum of its proper divisors (90550131936).

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

43771428864 is an frugal number, since it uses more digits than its factorization.

43771428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 887 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 43771428864 in words is "forty-three billion, seven hundred seventy-one million, four hundred twenty-eight thousand, eight hundred sixty-four".