1027957681427 has 8 divisors (see below), whose sum is σ = 1029490862400. Its totient is φ = 1026425112064.

The previous prime is 1027957681393. The next prime is 1027957681469. The reversal of 1027957681427 is 7241867597201.

It is a happy number.

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 1027957681427 - 2⁸ = 1027957681171 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1027957681477) 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 7 ways as a sum of consecutive naturals, for example, 3267974 + ... + 3568692.

It is an arithmetic number, because the mean of its divisors is an integer number (128686357800).

Almost surely, 2^{1027957681427} is an apocalyptic number.

1027957681427 is a deficient number, since it is larger than the sum of its proper divisors (1533180973).

1027957681427 is an equidigital number, since it uses as much as digits as its factorization.

1027957681427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305805.

The product of its (nonzero) digits is 11854080, while the sum is 59.

The spelling of 1027957681427 in words is "one trillion, twenty-seven billion, nine hundred fifty-seven million, six hundred eighty-one thousand, four hundred twenty-seven".