434223840960 has 2520 divisors, whose sum is σ = 2072000224800. Its totient is φ = 86227255296.

The previous prime is 434223840931. The next prime is 434223840983. The reversal of 434223840960 is 69048322434.

434223840960 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 238 + 409 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 25542578872 + ... + 25542578888.

Almost surely, 2^434223840960 is an apocalyptic number.

434223840960 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 434223840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036000112400).

434223840960 is an abundant number, since it is smaller than the sum of its proper divisors (1637776383840).

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

434223840960 is a wasteful number, since it uses less digits than its factorization.

434223840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 434223840960 in words is "four hundred thirty-four billion, two hundred twenty-three million, eight hundred forty thousand, nine hundred sixty".