8141840738304 has 576 divisors, whose sum is σ = 26921746051200. Its totient is φ = 2142542757888.

The previous prime is 8141840738299. The next prime is 8141840738333. The reversal of 8141840738304 is 4038370481418.

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 47 ways as a sum of consecutive naturals, for example, 4310131792 + ... + 4310133680.

It is an arithmetic number, because the mean of its divisors is an integer number (46739142450).

Almost surely, 2^{8141840738304} is an apocalyptic number.

8141840738304 is a gapful number since it is divisible by the number (84) 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 8141840738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460873025600).

8141840738304 is an abundant number, since it is smaller than the sum of its proper divisors (18779905312896).

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

8141840738304 is a wasteful number, since it uses less digits than its factorization.

8141840738304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 8141840738304 in words is "eight trillion, one hundred forty-one billion, eight hundred forty million, seven hundred thirty-eight thousand, three hundred four".