8130408440 has 256 divisors, whose sum is σ = 24932966400. Its totient is φ = 2307686400.

The previous prime is 8130408413. The next prime is 8130408463. The reversal of 8130408440 is 448040318.

It is a super-2 number, since 2×8130408440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8130408397 and 8130408406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1620656 + ... + 1625664.

It is an arithmetic number, because the mean of its divisors is an integer number (97394400).

Almost surely, 2^8130408440 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 8130408440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12466483200).

8130408440 is an abundant number, since it is smaller than the sum of its proper divisors (16802557960).

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

8130408440 is a wasteful number, since it uses less digits than its factorization.

8130408440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 8130408440 is about 90168.7775230429. Note that the first 3 decimals coincide. The cubic root of 8130408440 is about 2010.8088491557.

Adding to 8130408440 its reverse (448040318), we get a palindrome (8578448758).

The spelling of 8130408440 in words is "eight billion, one hundred thirty million, four hundred eight thousand, four hundred forty".