41303963897856 has 1053 divisors, whose sum is σ = 140090701365433. Its totient is φ = 11714286059520.

The previous prime is 41303963897849. The next prime is 41303963897857. The reversal of 41303963897856 is 65879836930314.

The square root of 41303963897856 is 6426816.

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

41303963897856 is a `hidden beast` number, since 4 + 130 + 39 + 6 + 389 + 7 + 85 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32157065318400 + 9146898579456 = 5670720^2 + 3024384^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41303963897857) 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 80 ways as a sum of consecutive naturals, for example, 230748401575 + ... + 230748401753.

Almost surely, 2^{41303963897856} is an apocalyptic number.

41303963897856 is the 6426816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41303963897856

41303963897856 is an abundant number, since it is smaller than the sum of its proper divisors (98786737467577).

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

41303963897856 is a wasteful number, since it uses less digits than its factorization.

41303963897856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 41303963897856 in words is "forty-one trillion, three hundred three billion, nine hundred sixty-three million, eight hundred ninety-seven thousand, eight hundred fifty-six".