8342143810560 has 1056 divisors, whose sum is σ = 34413546166272. Its totient is φ = 1898130309120.

The previous prime is 8342143810501. The next prime is 8342143810589. The reversal of 8342143810560 is 650183412438.

8342143810560 is a `hidden beast` number, since 8 + 3 + 4 + 2 + 1 + 4 + 3 + 81 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2029222905 + ... + 2029227015.

Almost surely, 2^{8342143810560} is an apocalyptic number.

8342143810560 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 8342143810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206773083136).

8342143810560 is an abundant number, since it is smaller than the sum of its proper divisors (26071402355712).

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

8342143810560 is a wasteful number, since it uses less digits than its factorization.

8342143810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 8342143810560 in words is "eight trillion, three hundred forty-two billion, one hundred forty-three million, eight hundred ten thousand, five hundred sixty".