1268021426256 has 640 divisors, whose sum is σ = 4146845696000. Its totient is φ = 368283801600.

The previous prime is 1268021426249. The next prime is 1268021426267. The reversal of 1268021426256 is 6526241208621.

1268021426256 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 0 + 2 + 14 + 2 + 625 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1476159555 + ... + 1476160413.

It is an arithmetic number, because the mean of its divisors is an integer number (6479446400).

Almost surely, 2^{1268021426256} is an apocalyptic number.

1268021426256 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 1268021426256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073422848000).

1268021426256 is an abundant number, since it is smaller than the sum of its proper divisors (2878824269744).

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

1268021426256 is a wasteful number, since it uses less digits than its factorization.

1268021426256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1268021426256 in words is "one trillion, two hundred sixty-eight billion, twenty-one million, four hundred twenty-six thousand, two hundred fifty-six".