434350513000 has 64 divisors (see below), whose sum is σ = 1018072757520. Its totient is φ = 173450880000.

The previous prime is 434350512997. The next prime is 434350513039. The reversal of 434350513000 is 315053434.

It can be written as a sum of positive squares in 8 ways, for example, as 177582276 + 434172930724 = 13326^2 + 658918^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 434350513000.

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 15 ways as a sum of consecutive naturals, for example, 239644 + ... + 962356.

Almost surely, 2^434350513000 is an apocalyptic number.

434350513000 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 434350513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509036378760).

434350513000 is an abundant number, since it is smaller than the sum of its proper divisors (583722244520).

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

434350513000 is a wasteful number, since it uses less digits than its factorization.

434350513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723335 (or 723321 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 434350513000 its reverse (315053434), we get a palindrome (434665566434).

The spelling of 434350513000 in words is "four hundred thirty-four billion, three hundred fifty million, five hundred thirteen thousand".