434240364256 has 96 divisors (see below), whose sum is σ = 900038018880. Its totient is φ = 205933056000.

The previous prime is 434240364253. The next prime is 434240364287. The reversal of 434240364256 is 652463042434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434240364253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48508581 + ... + 48517531.

It is an arithmetic number, because the mean of its divisors is an integer number (9375396030).

Almost surely, 2^434240364256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434240364256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450019009440).

434240364256 is an abundant number, since it is smaller than the sum of its proper divisors (465797654624).

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

434240364256 is a wasteful number, since it uses less digits than its factorization.

434240364256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 43.

The spelling of 434240364256 in words is "four hundred thirty-four billion, two hundred forty million, three hundred sixty-four thousand, two hundred fifty-six".