43431134725440 has 1344 divisors, whose sum is σ = 192841499934720. Its totient is φ = 8705636352000.

The previous prime is 43431134725439. The next prime is 43431134725477. The reversal of 43431134725440 is 4452743113434.

43431134725440 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 1 + 1 + 34 + 72 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9460057545 + ... + 9460062135.

It is an arithmetic number, because the mean of its divisors is an integer number (143483258880).

Almost surely, 2^{43431134725440} is an apocalyptic number.

43431134725440 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 43431134725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96420749967360).

43431134725440 is an abundant number, since it is smaller than the sum of its proper divisors (149410365209280).

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

43431134725440 is a wasteful number, since it uses less digits than its factorization.

43431134725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

Adding to 43431134725440 its reverse (4452743113434), we get a palindrome (47883877838874).

The spelling of 43431134725440 in words is "forty-three trillion, four hundred thirty-one billion, one hundred thirty-four million, seven hundred twenty-five thousand, four hundred forty".