5024405324224 has 336 divisors, whose sum is σ = 12202966460160. Its totient is φ = 2036765491200.

The previous prime is 5024405324209. The next prime is 5024405324357. The reversal of 5024405324224 is 4224235044205.

It is a happy number.

It is a super-2 number, since 2×5024405324224² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2899252062 + ... + 2899253794.

It is an arithmetic number, because the mean of its divisors is an integer number (36318352560).

Almost surely, 2^{5024405324224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5024405324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101483230080).

5024405324224 is an abundant number, since it is smaller than the sum of its proper divisors (7178561135936).

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

5024405324224 is a wasteful number, since it uses less digits than its factorization.

5024405324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 37.

The spelling of 5024405324224 in words is "five trillion, twenty-four billion, four hundred five million, three hundred twenty-four thousand, two hundred twenty-four".