8342593134240 has 96 divisors (see below), whose sum is σ = 26290209004416. Its totient is φ = 2223756846080.

The previous prime is 8342593134221. The next prime is 8342593134247. The reversal of 8342593134240 is 424313952438.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8342593134240.

It is not an unprimeable number, because it can be changed into a prime (8342593134247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2506932 + ... + 4792691.

It is an arithmetic number, because the mean of its divisors is an integer number (273856343796).

Almost surely, 2^{8342593134240} is an apocalyptic number.

8342593134240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8342593134240 is an abundant number, since it is smaller than the sum of its proper divisors (17947615870176).

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

8342593134240 is a wasteful number, since it uses less digits than its factorization.

8342593134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7302022 (or 7302014 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 8342593134240 in words is "eight trillion, three hundred forty-two billion, five hundred ninety-three million, one hundred thirty-four thousand, two hundred forty".