43132441440000 has 1440 divisors, whose sum is σ = 160876710973440. Its totient is φ = 10166220800000.

The previous prime is 43132441439993. The next prime is 43132441440001. The reversal of 43132441440000 is 4414423134.

43132441440000 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 (30).

It is a self number, because there is not a number n which added to its sum of digits gives 43132441440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43132441440001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 44420639515 + ... + 44420640485.

It is an arithmetic number, because the mean of its divisors is an integer number (111719938176).

Almost surely, 2^{43132441440000} is an apocalyptic number.

43132441440000 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 43132441440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438355486720).

43132441440000 is an abundant number, since it is smaller than the sum of its proper divisors (117744269533440).

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

43132441440000 is a wasteful number, since it uses less digits than its factorization.

43132441440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 43132441440000 its reverse (4414423134), we get a palindrome (43136855863134).

The spelling of 43132441440000 in words is "forty-three trillion, one hundred thirty-two billion, four hundred forty-one million, four hundred forty thousand".