434163313000 has 64 divisors (see below), whose sum is σ = 1018012432320. Its totient is φ = 173311432000.

The previous prime is 434163312983. The next prime is 434163313033. The reversal of 434163313000 is 313361434.

It is a self number, because there is not a number n which added to its sum of digits gives 434163313000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48879 + ... + 933121.

It is an arithmetic number, because the mean of its divisors is an integer number (15906444255).

Almost surely, 2^434163313000 is an apocalyptic number.

434163313000 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 434163313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509006216160).

434163313000 is an abundant number, since it is smaller than the sum of its proper divisors (583849119320).

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

434163313000 is a wasteful number, since it uses less digits than its factorization.

434163313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884755 (or 884741 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 434163313000 its reverse (313361434), we get a palindrome (434476674434).

The spelling of 434163313000 in words is "four hundred thirty-four billion, one hundred sixty-three million, three hundred thirteen thousand".