1017140126417 has 8 divisors (see below), whose sum is σ = 1019996915520. Its totient is φ = 1014284032560.

The previous prime is 1017140126399. The next prime is 1017140126461. The reversal of 1017140126417 is 7146210417101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1017140126417 - 2¹⁴ = 1017140110033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1067140126417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2828942 + ... + 3168152.

It is an arithmetic number, because the mean of its divisors is an integer number (127499614440).

Almost surely, 2^{1017140126417} is an apocalyptic number.

It is an amenable number.

1017140126417 is a deficient number, since it is larger than the sum of its proper divisors (2856789103).

1017140126417 is an equidigital number, since it uses as much as digits as its factorization.

1017140126417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347623.

The product of its (nonzero) digits is 9408, while the sum is 35.

The spelling of 1017140126417 in words is "one trillion, seventeen billion, one hundred forty million, one hundred twenty-six thousand, four hundred seventeen".