434203532110464 has 512 divisors, whose sum is σ = 1282617837849600. Its totient is φ = 129514463232000.

The previous prime is 434203532110463. The next prime is 434203532110477. The reversal of 434203532110464 is 464011235302434.

It is not an unprimeable number, because it can be changed into a prime (434203532110463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56456052859 + ... + 56456060549.

It is an arithmetic number, because the mean of its divisors is an integer number (2505112964550).

Almost surely, 2^{434203532110464} 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 434203532110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641308918924800).

434203532110464 is an abundant number, since it is smaller than the sum of its proper divisors (848414305739136).

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

434203532110464 is a wasteful number, since it uses less digits than its factorization.

434203532110464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272 (or 12260 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 434203532110464 its reverse (464011235302434), we get a palindrome (898214767412898).

The spelling of 434203532110464 in words is "four hundred thirty-four trillion, two hundred three billion, five hundred thirty-two million, one hundred ten thousand, four hundred sixty-four".