1427986002417 has 128 divisors (see below), whose sum is σ = 2142369546240. Its totient is φ = 840647808000.

The previous prime is 1427986002403. The next prime is 1427986002419. The reversal of 1427986002417 is 7142006897241.

It is not a de Polignac number, because 1427986002417 - 2³⁹ = 878230188529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1427986002417.

It is not an unprimeable number, because it can be changed into a prime (1427986002419) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4314156942 + ... + 4314157272.

It is an arithmetic number, because the mean of its divisors is an integer number (16737262080).

Almost surely, 2^{1427986002417} is an apocalyptic number.

It is an amenable number.

1427986002417 is a deficient number, since it is larger than the sum of its proper divisors (714383543823).

1427986002417 is a wasteful number, since it uses less digits than its factorization.

1427986002417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775.

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 1427986002417 in words is "one trillion, four hundred twenty-seven billion, nine hundred eighty-six million, two thousand, four hundred seventeen".