43827355419912 has 192 divisors, whose sum is σ = 125350229862000. Its totient is φ = 13813525555200.

The previous prime is 43827355419899. The next prime is 43827355419971. The reversal of 43827355419912 is 21991455372834.

43827355419912 is a `hidden beast` number, since 4 + 3 + 8 + 2 + 73 + 5 + 541 + 9 + 9 + 12 = 666.

43827355419912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 30743986415076 + 13083369004836 = 5544726^2 + 3617094^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 43827355419912.

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 47 ways as a sum of consecutive naturals, for example, 28415962 + ... + 29918582.

Almost surely, 2^{43827355419912} 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 43827355419912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62675114931000).

43827355419912 is an abundant number, since it is smaller than the sum of its proper divisors (81522874442088).

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

43827355419912 is a wasteful number, since it uses less digits than its factorization.

43827355419912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502952 (or 1502945 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 43827355419912 in words is "forty-three trillion, eight hundred twenty-seven billion, three hundred fifty-five million, four hundred nineteen thousand, nine hundred twelve".