256830013440 has 2176 divisors, whose sum is σ = 1268347852800. Its totient is φ = 47563407360.

The previous prime is 256830013421. The next prime is 256830013463. The reversal of 256830013440 is 44310038652.

256830013440 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 300 + 1 + 344 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 256830013395 and 256830013404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8856207346 + ... + 8856207374.

Almost surely, 2^256830013440 is an apocalyptic number.

256830013440 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 256830013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634173926400).

256830013440 is an abundant number, since it is smaller than the sum of its proper divisors (1011517839360).

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

256830013440 is a wasteful number, since it uses less digits than its factorization.

256830013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 256830013440 in words is "two hundred fifty-six billion, eight hundred thirty million, thirteen thousand, four hundred forty".