43134013440 has 624 divisors, whose sum is σ = 173085134976. Its totient is φ = 9732096000.

The previous prime is 43134013379. The next prime is 43134013441. The reversal of 43134013440 is 4431043134.

43134013440 is a `hidden beast` number, since 4 + 313 + 4 + 0 + 1 + 344 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43134013441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 130314075 + ... + 130314405.

It is an arithmetic number, because the mean of its divisors is an integer number (277380024).

Almost surely, 2^43134013440 is an apocalyptic number.

43134013440 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 43134013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86542567488).

43134013440 is an abundant number, since it is smaller than the sum of its proper divisors (129951121536).

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

43134013440 is a wasteful number, since it uses less digits than its factorization.

43134013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 43134013440 its reverse (4431043134), we get a palindrome (47565056574).

The spelling of 43134013440 in words is "forty-three billion, one hundred thirty-four million, thirteen thousand, four hundred forty".