1017242385000 has 320 divisors, whose sum is σ = 3274456838400. Its totient is φ = 263143552000.

The previous prime is 1017242384999. The next prime is 1017242385007. The reversal of 1017242385000 is 5832427101.

It is not an unprimeable number, because it can be changed into a prime (1017242385007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 9002144944 + ... + 9002145056.

It is an arithmetic number, because the mean of its divisors is an integer number (10232677620).

Almost surely, 2^{1017242385000} is an apocalyptic number.

1017242385000 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 1017242385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637228419200).

1017242385000 is an abundant number, since it is smaller than the sum of its proper divisors (2257214453400).

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

1017242385000 is an frugal number, since it uses more digits than its factorization.

1017242385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 1017242385000 in words is "one trillion, seventeen billion, two hundred forty-two million, three hundred eighty-five thousand".