256441364480 has 416 divisors, whose sum is σ = 764444405760. Its totient is φ = 80581754880.

The previous prime is 256441364477. The next prime is 256441364503. The reversal of 256441364480 is 84463144652.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84437522 + ... + 84440558.

Almost surely, 2^256441364480 is an apocalyptic number.

256441364480 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 256441364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382222202880).

256441364480 is an abundant number, since it is smaller than the sum of its proper divisors (508003041280).

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

256441364480 is a wasteful number, since it uses less digits than its factorization.

256441364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 47.

The spelling of 256441364480 in words is "two hundred fifty-six billion, four hundred forty-one million, three hundred sixty-four thousand, four hundred eighty".