256041524992 has 288 divisors, whose sum is σ = 625989095424. Its totient is φ = 103115980800.

The previous prime is 256041524969. The next prime is 256041525001. The reversal of 256041524992 is 299425140652.

It is a happy number.

256041524992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 54906853 + ... + 54911515.

It is an arithmetic number, because the mean of its divisors is an integer number (2173573248).

Almost surely, 2^256041524992 is an apocalyptic number.

256041524992 is a gapful number since it is divisible by the number (22) 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 256041524992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312994547712).

256041524992 is an abundant number, since it is smaller than the sum of its proper divisors (369947570432).

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

256041524992 is a wasteful number, since it uses less digits than its factorization.

256041524992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 256041524992 in words is "two hundred fifty-six billion, forty-one million, five hundred twenty-four thousand, nine hundred ninety-two".