256400412567 has 64 divisors (see below), whose sum is σ = 374846545920. Its totient is φ = 154953907200.

The previous prime is 256400412563. The next prime is 256400412601. The reversal of 256400412567 is 765214004652.

It is not a de Polignac number, because 256400412567 - 2² = 256400412563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256400412563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371056692 + ... + 371057382.

It is an arithmetic number, because the mean of its divisors is an integer number (5856977280).

Almost surely, 2^256400412567 is an apocalyptic number.

256400412567 is a deficient number, since it is larger than the sum of its proper divisors (118446133353).

256400412567 is a wasteful number, since it uses less digits than its factorization.

256400412567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464.

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 256400412567 in words is "two hundred fifty-six billion, four hundred million, four hundred twelve thousand, five hundred sixty-seven".