5311319040 has 308 divisors, whose sum is σ = 19116097824. Its totient is φ = 1415356416.

The previous prime is 5311318963. The next prime is 5311319093. The reversal of 5311319040 is 409131135.

5311319040 is a `hidden beast` number, since 531 + 1 + 3 + 1 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5311318995 and 5311319013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3731769 + ... + 3733191.

Almost surely, 2^5311319040 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 5311319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558048912).

5311319040 is an abundant number, since it is smaller than the sum of its proper divisors (13804778784).

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

5311319040 is an equidigital number, since it uses as much as digits as its factorization.

5311319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5311319040 is about 72878.7969165244. The cubic root of 5311319040 is about 1744.7537072722.

The spelling of 5311319040 in words is "five billion, three hundred eleven million, three hundred nineteen thousand, forty".