256042195200 has 972 divisors, whose sum is σ = 1065873787524. Its totient is φ = 58392576000.

The previous prime is 256042195151. The next prime is 256042195249. The reversal of 256042195200 is 2591240652.

256042195200 is a `hidden beast` number, since 2 + 5 + 604 + 21 + 9 + 5 + 20 + 0 = 666.

256042195200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256042195151) and next prime (256042195249).

It can be written as a sum of positive squares in 6 ways, for example, as 1251461376 + 254790733824 = 35376^2 + 504768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 118482120 + ... + 118484280.

Almost surely, 2^256042195200 is an apocalyptic number.

256042195200 is a gapful number since it is divisible by the number (20) 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 256042195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532936893762).

256042195200 is an abundant number, since it is smaller than the sum of its proper divisors (809831592324).

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

256042195200 is a wasteful number, since it uses less digits than its factorization.

256042195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 256042195200 in words is "two hundred fifty-six billion, forty-two million, one hundred ninety-five thousand, two hundred".