1271744929056 has 288 divisors, whose sum is σ = 3905820959040. Its totient is φ = 361260877824.

The previous prime is 1271744928973. The next prime is 1271744929057. The reversal of 1271744929056 is 6509294471721.

It is a super-2 number, since 2×1271744929056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1271744928987 and 1271744929005.

It is not an unprimeable number, because it can be changed into a prime (1271744929057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889953750 + ... + 889955178.

It is an arithmetic number, because the mean of its divisors is an integer number (13561878330).

Almost surely, 2^{1271744929056} is an apocalyptic number.

1271744929056 is a gapful number since it is divisible by the number (16) 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 1271744929056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952910479520).

1271744929056 is an abundant number, since it is smaller than the sum of its proper divisors (2634076029984).

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

1271744929056 is a wasteful number, since it uses less digits than its factorization.

1271744929056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 1271744929056 in words is "one trillion, two hundred seventy-one billion, seven hundred forty-four million, nine hundred twenty-nine thousand, fifty-six".