434256260636560 has 160 divisors (see below), whose sum is σ = 1039217254410240. Its totient is φ = 168635703988224.

The previous prime is 434256260636533. The next prime is 434256260636579. The reversal of 434256260636560 is 65636062652434.

It is a junction number, because it is equal to n+sod(n) for n = 434256260636495 and 434256260636504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23469496269 + ... + 23469514771.

It is an arithmetic number, because the mean of its divisors is an integer number (6495107840064).

Almost surely, 2^{434256260636560} is an apocalyptic number.

434256260636560 is a gapful number since it is divisible by the number (40) 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 434256260636560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519608627205120).

434256260636560 is an abundant number, since it is smaller than the sum of its proper divisors (604960993773680).

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

434256260636560 is a wasteful number, since it uses less digits than its factorization.

434256260636560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35585 (or 35579 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 58.

The spelling of 434256260636560 in words is "four hundred thirty-four trillion, two hundred fifty-six billion, two hundred sixty million, six hundred thirty-six thousand, five hundred sixty".