43226828362080 has 1152 divisors, whose sum is σ = 173364810458112. Its totient is φ = 10079354880000.

The previous prime is 43226828362043. The next prime is 43226828362171. The reversal of 43226828362080 is 8026382862234.

43226828362080 is a `hidden beast` number, since 4 + 3 + 2 + 2 + 6 + 8 + 2 + 8 + 3 + 620 + 8 + 0 = 666.

43226828362080 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 (54).

It is a congruent number.

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, 1244959120 + ... + 1244993840.

It is an arithmetic number, because the mean of its divisors is an integer number (150490286856).

Almost surely, 2^{43226828362080} is an apocalyptic number.

43226828362080 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 43226828362080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682405229056).

43226828362080 is an abundant number, since it is smaller than the sum of its proper divisors (130137982096032).

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

43226828362080 is a wasteful number, since it uses less digits than its factorization.

43226828362080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34874 (or 34854 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 43226828362080 in words is "forty-three trillion, two hundred twenty-six billion, eight hundred twenty-eight million, three hundred sixty-two thousand, eighty".