8343346289040 has 640 divisors, whose sum is σ = 34305804288000. Its totient is φ = 1822316728320.

The previous prime is 8343346289027. The next prime is 8343346289071. The reversal of 8343346289040 is 409826433438.

8343346289040 is a `hidden beast` number, since 8 + 3 + 4 + 3 + 3 + 4 + 628 + 9 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×8343346289040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 364788805 + ... + 364811675.

It is an arithmetic number, because the mean of its divisors is an integer number (53602819200).

Almost surely, 2^{8343346289040} is an apocalyptic number.

8343346289040 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 8343346289040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17152902144000).

8343346289040 is an abundant number, since it is smaller than the sum of its proper divisors (25962457998960).

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

8343346289040 is a wasteful number, since it uses less digits than its factorization.

8343346289040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23972 (or 23960 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 8343346289040 in words is "eight trillion, three hundred forty-three billion, three hundred forty-six million, two hundred eighty-nine thousand, forty".