5180503440 has 480 divisors, whose sum is σ = 19785876480. Its totient is φ = 1115778048.

The previous prime is 5180503429. The next prime is 5180503441. The reversal of 5180503440 is 443050815.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5180503398 and 5180503407.

It is not an unprimeable number, because it can be changed into a prime (5180503441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28941271 + ... + 28941449.

It is an arithmetic number, because the mean of its divisors is an integer number (41220576).

Almost surely, 2^5180503440 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 5180503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9892938240).

5180503440 is an abundant number, since it is smaller than the sum of its proper divisors (14605373040).

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

5180503440 is a wasteful number, since it uses less digits than its factorization.

5180503440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5180503440 is about 71975.7142375121. The cubic root of 5180503440 is about 1730.3102832592.

The spelling of 5180503440 in words is "five billion, one hundred eighty million, five hundred three thousand, four hundred forty".