1256492270304 has 384 divisors, whose sum is σ = 3758573145600. Its totient is φ = 408288522240.

The previous prime is 1256492270303. The next prime is 1256492270317. The reversal of 1256492270304 is 4030722946521.

1256492270304 is a `hidden beast` number, since 1 + 256 + 4 + 9 + 22 + 70 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1256492270304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256492270303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2322536274 + ... + 2322536814.

It is an arithmetic number, because the mean of its divisors is an integer number (9787950900).

Almost surely, 2^{1256492270304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1256492270304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879286572800).

1256492270304 is an abundant number, since it is smaller than the sum of its proper divisors (2502080875296).

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

1256492270304 is a wasteful number, since it uses less digits than its factorization.

1256492270304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1256492270304 in words is "one trillion, two hundred fifty-six billion, four hundred ninety-two million, two hundred seventy thousand, three hundred four".