128342190336000 has 2304 divisors, whose sum is σ = 489208642191360. Its totient is φ = 29780213760000.

The previous prime is 128342190335951. The next prime is 128342190336011. The reversal of 128342190336000 is 633091243821.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158251775595 + ... + 158251776405.

It is an arithmetic number, because the mean of its divisors is an integer number (212330139840).

Almost surely, 2^{128342190336000} is an apocalyptic number.

128342190336000 is a gapful number since it is divisible by the number (10) 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 128342190336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244604321095680).

128342190336000 is an abundant number, since it is smaller than the sum of its proper divisors (360866451855360).

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

128342190336000 is a wasteful number, since it uses less digits than its factorization.

128342190336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 128342190336000 in words is "one hundred twenty-eight trillion, three hundred forty-two billion, one hundred ninety million, three hundred thirty-six thousand".