1256981241600 has 1296 divisors, whose sum is σ = 5464863663840. Its totient is φ = 281788416000.

The previous prime is 1256981241599. The next prime is 1256981241631. The reversal of 1256981241600 is 61421896521.

1256981241600 is a `hidden beast` number, since 1 + 2 + 569 + 8 + 1 + 24 + 1 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 448760200 + ... + 448763000.

It is an arithmetic number, because the mean of its divisors is an integer number (4216715790).

Almost surely, 2^{1256981241600} is an apocalyptic number.

1256981241600 is a gapful number since it is divisible by the number (10) 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 1256981241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732431831920).

1256981241600 is an abundant number, since it is smaller than the sum of its proper divisors (4207882422240).

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

1256981241600 is a wasteful number, since it uses less digits than its factorization.

1256981241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1256981241600 in words is "one trillion, two hundred fifty-six billion, nine hundred eighty-one million, two hundred forty-one thousand, six hundred".