1256940288 has 288 divisors, whose sum is σ = 4150137600. Its totient is φ = 372916224.

The previous prime is 1256940287. The next prime is 1256940329. The reversal of 1256940288 is 8820496521.

1256940288 is a `hidden beast` number, since 1 + 2 + 569 + 4 + 0 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1256940287) 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 31 ways as a sum of consecutive naturals, for example, 2232295 + ... + 2232857.

It is an arithmetic number, because the mean of its divisors is an integer number (14410200).

Almost surely, 2^1256940288 is an apocalyptic number.

1256940288 is a gapful number since it is divisible by the number (18) 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 1256940288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075068800).

1256940288 is an abundant number, since it is smaller than the sum of its proper divisors (2893197312).

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

1256940288 is a wasteful number, since it uses less digits than its factorization.

1256940288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1256940288 is about 35453.3536918583. The cubic root of 1256940288 is about 1079.2073195785.

The spelling of 1256940288 in words is "one billion, two hundred fifty-six million, nine hundred forty thousand, two hundred eighty-eight".