256355410000 has 200 divisors, whose sum is σ = 691768313280. Its totient is φ = 91429632000.

The previous prime is 256355409953. The next prime is 256355410013. The reversal of 256355410000 is 14553652.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3190317 + ... + 3269683.

Almost surely, 2^256355410000 is an apocalyptic number.

256355410000 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 256355410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345884156640).

256355410000 is an abundant number, since it is smaller than the sum of its proper divisors (435412903280).

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

256355410000 is a wasteful number, since it uses less digits than its factorization.

256355410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79431 (or 79410 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 256355410000 its reverse (14553652), we get a palindrome (256369963652).

The spelling of 256355410000 in words is "two hundred fifty-six billion, three hundred fifty-five million, four hundred ten thousand".