256069289226240 has 1248 divisors, whose sum is σ = 1095507391896000. Its totient is φ = 56511669731328.

The previous prime is 256069289226187. The next prime is 256069289226259. The reversal of 256069289226240 is 42622982960652.

256069289226240 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 6 + 92 + 89 + 226 + 240 = 666.

It is a super-3 number, since 3×256069289226240³ (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 785593216 + ... + 785919104.

Almost surely, 2^{256069289226240} is an apocalyptic number.

256069289226240 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 256069289226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547753695948000).

256069289226240 is an abundant number, since it is smaller than the sum of its proper divisors (839438102669760).

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

256069289226240 is a wasteful number, since it uses less digits than its factorization.

256069289226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325970 (or 325935 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 256069289226240 in words is "two hundred fifty-six trillion, sixty-nine billion, two hundred eighty-nine million, two hundred twenty-six thousand, two hundred forty".