43130982400 has 351 divisors, whose sum is σ = 119584856713. Its totient is φ = 15418163200.

The previous prime is 43130982397. The next prime is 43130982431. The reversal of 43130982400 is 428903134.

The square root of 43130982400 is 207680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15527153664 + 27603828736 = 124608^2 + 166144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 731033571 + ... + 731033629.

Almost surely, 2^43130982400 is an apocalyptic number.

43130982400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

43130982400 is the 207680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43130982400

43130982400 is an abundant number, since it is smaller than the sum of its proper divisors (76453874313).

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

43130982400 is an equidigital number, since it uses as much as digits as its factorization.

43130982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Multiplying 43130982400 by its product of nonzero digits (20736), we get a square (894364051046400 = 29905920²).

The spelling of 43130982400 in words is "forty-three billion, one hundred thirty million, nine hundred eighty-two thousand, four hundred".