5040241300224 has 288 divisors, whose sum is σ = 16058693685440. Its totient is φ = 1550139752448.

The previous prime is 5040241300217. The next prime is 5040241300243. The reversal of 5040241300224 is 4220031420405.

5040241300224 is a `hidden beast` number, since 5 + 0 + 402 + 4 + 1 + 30 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 218967564 + ... + 218990580.

Almost surely, 2^{5040241300224} is an apocalyptic number.

5040241300224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040241300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029346842720).

5040241300224 is an abundant number, since it is smaller than the sum of its proper divisors (11018452385216).

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

5040241300224 is a wasteful number, since it uses less digits than its factorization.

5040241300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25492 (or 25472 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 5040241300224 its reverse (4220031420405), we get a palindrome (9260272720629).

The spelling of 5040241300224 in words is "five trillion, forty billion, two hundred forty-one million, three hundred thousand, two hundred twenty-four".