434644775552 has 128 divisors (see below), whose sum is σ = 972007155840. Its totient is φ = 192268505088.

The previous prime is 434644775503. The next prime is 434644775623. The reversal of 434644775552 is 255577446434.

It is a tau number, because it is divible by the number of its divisors (128).

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, 4072373 + ... + 4177739.

It is an arithmetic number, because the mean of its divisors is an integer number (7593805905).

Almost surely, 2^434644775552 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 434644775552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486003577920).

434644775552 is an abundant number, since it is smaller than the sum of its proper divisors (537362380288).

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

434644775552 is a wasteful number, since it uses less digits than its factorization.

434644775552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105498 (or 105486 counting only the distinct ones).

The product of its digits is 56448000, while the sum is 56.

The spelling of 434644775552 in words is "four hundred thirty-four billion, six hundred forty-four million, seven hundred seventy-five thousand, five hundred fifty-two".