256201076040 has 1024 divisors, whose sum is σ = 1046333030400. Its totient is φ = 48671539200.

The previous prime is 256201076023. The next prime is 256201076069. The reversal of 256201076040 is 40670102652.

256201076040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 256201075992 and 256201076010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 392344354 + ... + 392345006.

It is an arithmetic number, because the mean of its divisors is an integer number (1021809600).

Almost surely, 2^256201076040 is an apocalyptic number.

256201076040 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 256201076040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523166515200).

256201076040 is an abundant number, since it is smaller than the sum of its proper divisors (790131954360).

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

256201076040 is a wasteful number, since it uses less digits than its factorization.

256201076040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 256201076040 its reverse (40670102652), we get a palindrome (296871178692).

The spelling of 256201076040 in words is "two hundred fifty-six billion, two hundred one million, seventy-six thousand, forty".