5813308440 has 288 divisors, whose sum is σ = 20788915680. Its totient is φ = 1457906688.

The previous prime is 5813308439. The next prime is 5813308441. The reversal of 5813308440 is 448033185.

5813308440 is a `hidden beast` number, since 581 + 3 + 30 + 8 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5813308439) and next prime (5813308441).

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 = 5813308395 and 5813308404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813308441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4460829 + ... + 4462131.

It is an arithmetic number, because the mean of its divisors is an integer number (72183735).

Almost surely, 2^5813308440 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 5813308440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394457840).

5813308440 is an abundant number, since it is smaller than the sum of its proper divisors (14975607240).

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

5813308440 is a wasteful number, since it uses less digits than its factorization.

5813308440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5813308440 is about 76245.0551839265. The cubic root of 5813308440 is about 1798.0749419292.

The spelling of 5813308440 in words is "five billion, eight hundred thirteen million, three hundred eight thousand, four hundred forty".