1256044567104 has 448 divisors, whose sum is σ = 3840234209280. Its totient is φ = 402295541760.

The previous prime is 1256044567097. The next prime is 1256044567109. The reversal of 1256044567104 is 4017654406521.

1256044567104 is a `hidden beast` number, since 1 + 25 + 60 + 4 + 4 + 567 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1256044567104.

It is not an unprimeable number, because it can be changed into a prime (1256044567109) 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, 1690503757 + ... + 1690504499.

It is an arithmetic number, because the mean of its divisors is an integer number (8571951360).

Almost surely, 2^{1256044567104} 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 1256044567104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920117104640).

1256044567104 is an abundant number, since it is smaller than the sum of its proper divisors (2584189642176).

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

1256044567104 is a wasteful number, since it uses less digits than its factorization.

1256044567104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1256044567104 in words is "one trillion, two hundred fifty-six billion, forty-four million, five hundred sixty-seven thousand, one hundred four".