256842399744 has 400 divisors, whose sum is σ = 880468269440. Its totient is φ = 73383542784.

The previous prime is 256842399707. The next prime is 256842399839. The reversal of 256842399744 is 447993248652.

256842399744 is a `hidden beast` number, since 2 + 56 + 8 + 423 + 99 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (104509440) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36691771389 + ... + 36691771395.

Almost surely, 2^256842399744 is an apocalyptic number.

256842399744 is a gapful number since it is divisible by the number (24) 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 256842399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440234134720).

256842399744 is an abundant number, since it is smaller than the sum of its proper divisors (623625869696).

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

256842399744 is an frugal number, since it uses more digits than its factorization.

256842399744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 12 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 256842399744 in words is "two hundred fifty-six billion, eight hundred forty-two million, three hundred ninety-nine thousand, seven hundred forty-four".