256478201674240 has 960 divisors, whose sum is σ = 775456571602944. Its totient is φ = 80637415391232.

The previous prime is 256478201674183. The next prime is 256478201674297. The reversal of 256478201674240 is 42476102874652.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (256478201674183) and next prime (256478201674297).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235950506977 + ... + 235950508063.

Almost surely, 2^{256478201674240} is an apocalyptic number.

256478201674240 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 256478201674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387728285801472).

256478201674240 is an abundant number, since it is smaller than the sum of its proper divisors (518978369928704).

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

256478201674240 is a wasteful number, since it uses less digits than its factorization.

256478201674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 58.

The spelling of 256478201674240 in words is "two hundred fifty-six trillion, four hundred seventy-eight billion, two hundred one million, six hundred seventy-four thousand, two hundred forty".