8311343040 has 1344 divisors, whose sum is σ = 40678364160. Its totient is φ = 1542758400.

The previous prime is 8311343017. The next prime is 8311343083. The reversal of 8311343040 is 403431138.

8311343040 is a `hidden beast` number, since 8 + 311 + 343 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 8311342995 and 8311343013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268107825 + ... + 268107855.

It is an arithmetic number, because the mean of its divisors is an integer number (30266640).

Almost surely, 2^8311343040 is an apocalyptic number.

8311343040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8311343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339182080).

8311343040 is an abundant number, since it is smaller than the sum of its proper divisors (32367021120).

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

8311343040 is a wasteful number, since it uses less digits than its factorization.

8311343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8311343040 is about 91166.5675563142. The cubic root of 8311343040 is about 2025.6157688402.

Adding to 8311343040 its reverse (403431138), we get a palindrome (8714774178).

The spelling of 8311343040 in words is "eight billion, three hundred eleven million, three hundred forty-three thousand, forty".