5238127440 has 960 divisors, whose sum is σ = 23368504320. Its totient is φ = 1081672704.

The previous prime is 5238127417. The next prime is 5238127471. The reversal of 5238127440 is 447218325.

It is a happy number.

5238127440 is a `hidden beast` number, since 5 + 2 + 381 + 274 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5238127395 and 5238127404.

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 191 ways as a sum of consecutive naturals, for example, 111449497 + ... + 111449543.

It is an arithmetic number, because the mean of its divisors is an integer number (24342192).

Almost surely, 2^5238127440 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 5238127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684252160).

5238127440 is an abundant number, since it is smaller than the sum of its proper divisors (18130376880).

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

5238127440 is a wasteful number, since it uses less digits than its factorization.

5238127440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5238127440 is about 72374.9089118598. The cubic root of 5238127440 is about 1736.7021959854.

The spelling of 5238127440 in words is "five billion, two hundred thirty-eight million, one hundred twenty-seven thousand, four hundred forty".