256741430400 has 1152 divisors, whose sum is σ = 1136327687040. Its totient is φ = 53747712000.

The previous prime is 256741430389. The next prime is 256741430431. The reversal of 256741430400 is 4034147652.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 427190100 + ... + 427190700.

Almost surely, 2^256741430400 is an apocalyptic number.

256741430400 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 256741430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568163843520).

256741430400 is an abundant number, since it is smaller than the sum of its proper divisors (879586256640).

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

256741430400 is a wasteful number, since it uses less digits than its factorization.

256741430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 256741430400 in words is "two hundred fifty-six billion, seven hundred forty-one million, four hundred thirty thousand, four hundred".