434057307056 has 80 divisors (see below), whose sum is σ = 937557180000. Its totient is φ = 193463046144.

The previous prime is 434057307043. The next prime is 434057307137. The reversal of 434057307056 is 650703750434.

It is a junction number, because it is equal to n+sod(n) for n = 434057306998 and 434057307016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27553070 + ... + 27568818.

It is an arithmetic number, because the mean of its divisors is an integer number (11719464750).

Almost surely, 2^434057307056 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 434057307056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468778590000).

434057307056 is an abundant number, since it is smaller than the sum of its proper divisors (503499872944).

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

434057307056 is a wasteful number, since it uses less digits than its factorization.

434057307056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21126 (or 21120 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 44.

The spelling of 434057307056 in words is "four hundred thirty-four billion, fifty-seven million, three hundred seven thousand, fifty-six".