256264341408540 has 240 divisors, whose sum is σ = 829867526256384. Its totient is φ = 66130805376000.

The previous prime is 256264341408457. The next prime is 256264341408563. The reversal of 256264341408540 is 45804143462652.

256264341408540 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 64 + 34 + 1 + 4 + 0 + 8 + 540 = 666.

It is a super-2 number, since 2×256264341408540² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2694606990 + ... + 2694702090.

Almost surely, 2^{256264341408540} is an apocalyptic number.

256264341408540 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 256264341408540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414933763128192).

256264341408540 is an abundant number, since it is smaller than the sum of its proper divisors (573603184847844).

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

256264341408540 is a wasteful number, since it uses less digits than its factorization.

256264341408540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148810 (or 148799 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 256264341408540 in words is "two hundred fifty-six trillion, two hundred sixty-four billion, three hundred forty-one million, four hundred eight thousand, five hundred forty".