41303245824 has 297 divisors, whose sum is σ = 125231711943. Its totient is φ = 13110902784.

The previous prime is 41303245787. The next prime is 41303245873. The reversal of 41303245824 is 42854230314.

The square root of 41303245824 is 203232.

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

41303245824 is a `hidden beast` number, since 41 + 3 + 0 + 32 + 4 + 582 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 350438400 + 40952807424 = 18720^2 + 202368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 565797852 + ... + 565797924.

Almost surely, 2^41303245824 is an apocalyptic number.

41303245824 is the 203232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41303245824

41303245824 is an abundant number, since it is smaller than the sum of its proper divisors (83928466119).

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

41303245824 is an equidigital number, since it uses as much as digits as its factorization.

41303245824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Multiplying 41303245824 by its sum of digits (36), we get a square (1486916849664 = 1219392²).

41303245824 divided by its sum of digits (36) gives a square (1147312384 = 33872²).

The spelling of 41303245824 in words is "forty-one billion, three hundred three million, two hundred forty-five thousand, eight hundred twenty-four".