5217124621440 has 768 divisors, whose sum is σ = 17862273031680. Its totient is φ = 1294506098688.

The previous prime is 5217124621403. The next prime is 5217124621459. The reversal of 5217124621440 is 441264217125.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13986929094 + ... + 13986929466.

It is an arithmetic number, because the mean of its divisors is an integer number (23258168010).

Almost surely, 2^{5217124621440} 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 5217124621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8931136515840).

5217124621440 is an abundant number, since it is smaller than the sum of its proper divisors (12645148410240).

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

5217124621440 is a wasteful number, since it uses less digits than its factorization.

5217124621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

Adding to 5217124621440 its reverse (441264217125), we get a palindrome (5658388838565).

The spelling of 5217124621440 in words is "five trillion, two hundred seventeen billion, one hundred twenty-four million, six hundred twenty-one thousand, four hundred forty".