1264387424256 has 816 divisors, whose sum is σ = 4288978661760. Its totient is φ = 355026862080.

The previous prime is 1264387424243. The next prime is 1264387424257. The reversal of 1264387424256 is 6524247834621.

It is a happy number.

1264387424256 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 387 + 4 + 2 + 4 + 256 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264387424257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5521342350 + ... + 5521342578.

Almost surely, 2^{1264387424256} is an apocalyptic number.

1264387424256 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 1264387424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144489330880).

1264387424256 is an abundant number, since it is smaller than the sum of its proper divisors (3024591237504).

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

1264387424256 is a wasteful number, since it uses less digits than its factorization.

1264387424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 305 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 1264387424256 in words is "one trillion, two hundred sixty-four billion, three hundred eighty-seven million, four hundred twenty-four thousand, two hundred fifty-six".