8342088342000 has 320 divisors, whose sum is σ = 31169947281408. Its totient is φ = 1879906560000.

The previous prime is 8342088341999. The next prime is 8342088342041. The reversal of 8342088342000 is 2438802438.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1583260 + ... + 4380740.

Almost surely, 2^{8342088342000} is an apocalyptic number.

8342088342000 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 8342088342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584973640704).

8342088342000 is an abundant number, since it is smaller than the sum of its proper divisors (22827858939408).

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

8342088342000 is a wasteful number, since it uses less digits than its factorization.

8342088342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797585 (or 2797569 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 8342088342000 in words is "eight trillion, three hundred forty-two billion, eighty-eight million, three hundred forty-two thousand".