8340697374240 has 1152 divisors, whose sum is σ = 34077434904576. Its totient is φ = 1695181824000.

The previous prime is 8340697374239. The next prime is 8340697374271. The reversal of 8340697374240 is 424737960438.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3014345337 + ... + 3014348103.

It is an arithmetic number, because the mean of its divisors is an integer number (29581106688).

Almost surely, 2^{8340697374240} is an apocalyptic number.

8340697374240 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 8340697374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17038717452288).

8340697374240 is an abundant number, since it is smaller than the sum of its proper divisors (25736737530336).

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

8340697374240 is a wasteful number, since it uses less digits than its factorization.

8340697374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 8340697374240 in words is "eight trillion, three hundred forty billion, six hundred ninety-seven million, three hundred seventy-four thousand, two hundred forty".