256070996375040 has 2880 divisors, whose sum is σ = 1156797390228480. Its totient is φ = 51182066073600.

The previous prime is 256070996375021. The next prime is 256070996375083. The reversal of 256070996375040 is 40573699070652.

256070996375040 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 7 + 0 + 9 + 96 + 37 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 187323332437 + ... + 187323333803.

It is an arithmetic number, because the mean of its divisors is an integer number (401665760496).

Almost surely, 2^{256070996375040} is an apocalyptic number.

256070996375040 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 256070996375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578398695114240).

256070996375040 is an abundant number, since it is smaller than the sum of its proper divisors (900726393853440).

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

256070996375040 is a wasteful number, since it uses less digits than its factorization.

256070996375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 256070996375040 in words is "two hundred fifty-six trillion, seventy billion, nine hundred ninety-six million, three hundred seventy-five thousand, forty".