1274320688256 has 1440 divisors, whose sum is σ = 4955186617920. Its totient is φ = 318193920000.

The previous prime is 1274320688237. The next prime is 1274320688257. The reversal of 1274320688256 is 6528860234721.

1274320688256 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 320 + 68 + 8 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1274320688257) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 8439209781 + ... + 8439209931.

It is an arithmetic number, because the mean of its divisors is an integer number (3441101818).

Almost surely, 2^{1274320688256} is an apocalyptic number.

1274320688256 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 1274320688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477593308960).

1274320688256 is an abundant number, since it is smaller than the sum of its proper divisors (3680865929664).

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

1274320688256 is a wasteful number, since it uses less digits than its factorization.

1274320688256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1274320688256 in words is "one trillion, two hundred seventy-four billion, three hundred twenty million, six hundred eighty-eight thousand, two hundred fifty-six".