256378320040 has 32 divisors (see below), whose sum is σ = 601931710080. Its totient is φ = 98092574272.

The previous prime is 256378319987. The next prime is 256378320047. The reversal of 256378320040 is 40023873652.

256378320040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 256378319975 and 256378320002.

It is not an unprimeable number, because it can be changed into a prime (256378320047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139335124 + ... + 139336963.

It is an arithmetic number, because the mean of its divisors is an integer number (18810365940).

Almost surely, 2^256378320040 is an apocalyptic number.

256378320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256378320040 is an abundant number, since it is smaller than the sum of its proper divisors (345553390040).

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

256378320040 is a wasteful number, since it uses less digits than its factorization.

256378320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278672121 (or 278672117 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 256378320040 in words is "two hundred fifty-six billion, three hundred seventy-eight million, three hundred twenty thousand, forty".