5258413440 has 576 divisors, whose sum is σ = 21840174720. Its totient is φ = 1161216000.

The previous prime is 5258413427. The next prime is 5258413451. The reversal of 5258413440 is 443148525.

It is a happy number.

5258413440 is a `hidden beast` number, since 5 + 2 + 584 + 1 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 5258413395 and 5258413404.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8749140 + ... + 8749740.

It is an arithmetic number, because the mean of its divisors is an integer number (37916970).

Almost surely, 2^5258413440 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 5258413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10920087360).

5258413440 is an abundant number, since it is smaller than the sum of its proper divisors (16581761280).

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

5258413440 is a wasteful number, since it uses less digits than its factorization.

5258413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5258413440 is about 72514.9187409046. The cubic root of 5258413440 is about 1738.9412504762.

The spelling of 5258413440 in words is "five billion, two hundred fifty-eight million, four hundred thirteen thousand, four hundred forty".