1271427664000 has 256 divisors, whose sum is σ = 3409653592800. Its totient is φ = 468704870400.

The previous prime is 1271427663983. The next prime is 1271427664021. The reversal of 1271427664000 is 4667241721.

It can be written as a sum of positive squares in 16 ways, for example, as 124112471616 + 1147315192384 = 352296^2 + 1071128^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140811486 + ... + 140820514.

Almost surely, 2^{1271427664000} is an apocalyptic number.

1271427664000 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 1271427664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704826796400).

1271427664000 is an abundant number, since it is smaller than the sum of its proper divisors (2138225928800).

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

1271427664000 is an equidigital number, since it uses as much as digits as its factorization.

1271427664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9748 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 1271427664000 in words is "one trillion, two hundred seventy-one billion, four hundred twenty-seven million, six hundred sixty-four thousand".