41224845222144 has 108 divisors (see below), whose sum is σ = 120086767669596. Its totient is φ = 13599948865536.

The previous prime is 41224845222083. The next prime is 41224845222149. The reversal of 41224845222144 is 44122254842214.

41224845222144 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 4 + 84 + 522 + 2 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19562150559744 + 21662694662400 = 4422912^2 + 4654320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41224845222144.

It is not an unprimeable number, because it can be changed into a prime (41224845222149) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 92007069 + ... + 92454044.

Almost surely, 2^{41224845222144} is an apocalyptic number.

It is an amenable number.

41224845222144 is an abundant number, since it is smaller than the sum of its proper divisors (78861922447452).

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

41224845222144 is a wasteful number, since it uses less digits than its factorization.

41224845222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184461232 (or 184461215 counting only the distinct ones).

The product of its digits is 1310720, while the sum is 45.

The spelling of 41224845222144 in words is "forty-one trillion, two hundred twenty-four billion, eight hundred forty-five million, two hundred twenty-two thousand, one hundred forty-four".