1427751461717 has 24 divisors (see below), whose sum is σ = 1760444924760. Its totient is φ = 1150559047680.

The previous prime is 1427751461701. The next prime is 1427751461737. The reversal of 1427751461717 is 7171641577241.

It can be written as a sum of positive squares in 4 ways, for example, as 161122762801 + 1266628698916 = 401401^2 + 1125446^2 .

It is not a de Polignac number, because 1427751461717 - 2⁴ = 1427751461701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427751461737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148634 + ... + 1696347.

It is an arithmetic number, because the mean of its divisors is an integer number (73351871865).

Almost surely, 2^{1427751461717} is an apocalyptic number.

1427751461717 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1427751461717 is a deficient number, since it is larger than the sum of its proper divisors (332693463043).

1427751461717 is a wasteful number, since it uses less digits than its factorization.

1427751461717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845941 (or 1845934 counting only the distinct ones).

The product of its digits is 2304960, while the sum is 53.

The spelling of 1427751461717 in words is "one trillion, four hundred twenty-seven billion, seven hundred fifty-one million, four hundred sixty-one thousand, seven hundred seventeen".