43105442000 has 80 divisors (see below), whose sum is σ = 105303958032. Its totient is φ = 17064345600.

The previous prime is 43105441993. The next prime is 43105442041. The reversal of 43105442000 is 24450134.

It can be written as a sum of positive squares in 8 ways, for example, as 17693256256 + 25412185744 = 133016^2 + 159412^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82904 + ... + 305096.

Almost surely, 2^43105442000 is an apocalyptic number.

43105442000 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 43105442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52651979016).

43105442000 is an abundant number, since it is smaller than the sum of its proper divisors (62198516032).

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

43105442000 is a wasteful number, since it uses less digits than its factorization.

43105442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222313 (or 222297 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 43105442000 its reverse (24450134), we get a palindrome (43129892134).

The spelling of 43105442000 in words is "forty-three billion, one hundred five million, four hundred forty-two thousand".