1271738659464 has 512 divisors, whose sum is σ = 4612866048000. Its totient is φ = 315237049344.

The previous prime is 1271738659427. The next prime is 1271738659487. The reversal of 1271738659464 is 4649568371721.

1271738659464 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 7 + 38 + 6 + 594 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47416522 + ... + 47443334.

It is an arithmetic number, because the mean of its divisors is an integer number (9009504000).

Almost surely, 2^{1271738659464} is an apocalyptic number.

1271738659464 is a gapful number since it is divisible by the number (14) 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 1271738659464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306433024000).

1271738659464 is an abundant number, since it is smaller than the sum of its proper divisors (3341127388536).

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

1271738659464 is a wasteful number, since it uses less digits than its factorization.

1271738659464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26994 (or 26984 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 1271738659464 in words is "one trillion, two hundred seventy-one billion, seven hundred thirty-eight million, six hundred fifty-nine thousand, four hundred sixty-four".