256706422410000 has 200 divisors, whose sum is σ = 828703009900480. Its totient is φ = 68453356608000.

The previous prime is 256706422409999. The next prime is 256706422410001. The reversal of 256706422410000 is 14224607652.

256706422410000 is digitally balanced in base 2 and base 4, because in such bases 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 (256706422409999) and next prime (256706422410001).

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

It is not an unprimeable number, because it can be changed into a prime (256706422410001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1640291754 + ... + 1640448246.

Almost surely, 2^{256706422410000} is an apocalyptic number.

256706422410000 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 256706422410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414351504950240).

256706422410000 is an abundant number, since it is smaller than the sum of its proper divisors (571996587490480).

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

256706422410000 is a wasteful number, since it uses less digits than its factorization.

256706422410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211203 (or 211182 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 256706422410000 in words is "two hundred fifty-six trillion, seven hundred six billion, four hundred twenty-two million, four hundred ten thousand".