1271401744284 has 192 divisors, whose sum is σ = 3942250905600. Its totient is φ = 346460849856.

The previous prime is 1271401744271. The next prime is 1271401744297. The reversal of 1271401744284 is 4824471041721.

1271401744284 is a `hidden beast` number, since 12 + 7 + 1 + 40 + 174 + 428 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1271401744271) and next prime (1271401744297).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5928277 + ... + 6138995.

It is an arithmetic number, because the mean of its divisors is an integer number (20532556800).

Almost surely, 2^{1271401744284} is an apocalyptic number.

1271401744284 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 1271401744284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971125452800).

1271401744284 is an abundant number, since it is smaller than the sum of its proper divisors (2670849161316).

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

1271401744284 is a wasteful number, since it uses less digits than its factorization.

1271401744284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211109 (or 211101 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

It can be divided in two parts, 127140 and 1744284, that added together give a square (1871424 = 1368²).

The spelling of 1271401744284 in words is "one trillion, two hundred seventy-one billion, four hundred one million, seven hundred forty-four thousand, two hundred eighty-four".