434286668160 has 768 divisors, whose sum is σ = 1601042526720. Its totient is φ = 108291686400.

The previous prime is 434286668143. The next prime is 434286668261. The reversal of 434286668160 is 61866682434.

It is a junction number, because it is equal to n+sod(n) for n = 434286668097 and 434286668106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1002971304 + ... + 1002971736.

It is an arithmetic number, because the mean of its divisors is an integer number (2084690790).

Almost surely, 2^434286668160 is an apocalyptic number.

434286668160 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 434286668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800521263360).

434286668160 is an abundant number, since it is smaller than the sum of its proper divisors (1166755858560).

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

434286668160 is a wasteful number, since it uses less digits than its factorization.

434286668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 434286668160 in words is "four hundred thirty-four billion, two hundred eighty-six million, six hundred sixty-eight thousand, one hundred sixty".