434144202244032 has 56 divisors (see below), whose sum is σ = 1312769373456256. Its totient is φ = 124041200640768.

The previous prime is 434144202244013. The next prime is 434144202244087. The reversal of 434144202244032 is 230442202441434.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161511978658 + ... + 161511981345.

Almost surely, 2^{434144202244032} is an apocalyptic number.

434144202244032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

434144202244032 is an abundant number, since it is smaller than the sum of its proper divisors (878625171212224).

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

434144202244032 is a wasteful number, since it uses less digits than its factorization.

434144202244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323023960025 (or 323023960015 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 434144202244032 its reverse (230442202441434), we get a palindrome (664586404685466).

The spelling of 434144202244032 in words is "four hundred thirty-four trillion, one hundred forty-four billion, two hundred two million, two hundred forty-four thousand, thirty-two".