5141125440 has 252 divisors, whose sum is σ = 19438365492. Its totient is φ = 1246248960.

The previous prime is 5141125433. The next prime is 5141125441. The reversal of 5141125440 is 445211415.

5141125440 is a `hidden beast` number, since 5 + 1 + 4 + 112 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2183505984 + 2957619456 = 46728^2 + 54384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141125441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 341104 + ... + 355856.

It is an arithmetic number, because the mean of its divisors is an integer number (77136371).

Almost surely, 2^5141125440 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 5141125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9719182746).

5141125440 is an abundant number, since it is smaller than the sum of its proper divisors (14297240052).

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

5141125440 is a wasteful number, since it uses less digits than its factorization.

5141125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14798 (or 14774 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5141125440 is about 71701.6418222066. The cubic root of 5141125440 is about 1725.9149877992.

Adding to 5141125440 its reverse (445211415), we get a palindrome (5586336855).

The spelling of 5141125440 in words is "five billion, one hundred forty-one million, one hundred twenty-five thousand, four hundred forty".