41485542400 has 297 divisors, whose sum is σ = 110175122169. Its totient is φ = 15486197760.

The previous prime is 41485542389. The next prime is 41485542403. The reversal of 41485542400 is 424558414.

The square root of 41485542400 is 203680.

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., 14934795264 + 26550747136 = 122208^2 + 162944^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41485542400.

It is not an unprimeable number, because it can be changed into a prime (41485542403) 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 26 ways as a sum of consecutive naturals, for example, 619187167 + ... + 619187233.

Almost surely, 2^41485542400 is an apocalyptic number.

41485542400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41485542400 is the 203680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41485542400

41485542400 is an abundant number, since it is smaller than the sum of its proper divisors (68689579769).

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

41485542400 is an equidigital number, since it uses as much as digits as its factorization.

41485542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 37.

The spelling of 41485542400 in words is "forty-one billion, four hundred eighty-five million, five hundred forty-two thousand, four hundred".