434556655434 has 128 divisors (see below), whose sum is σ = 1136486972160. Its totient is φ = 121599129600.

The previous prime is 434556655397. The next prime is 434556655439.

434556655434 is a `hidden beast` number, since 4 + 3 + 4 + 5 + 56 + 6 + 554 + 34 = 666.

434556655434 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (434556655439) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 129214 + ... + 941174.

It is an arithmetic number, because the mean of its divisors is an integer number (8878804470).

Almost surely, 2^434556655434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434556655434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568243486080).

434556655434 is an abundant number, since it is smaller than the sum of its proper divisors (701930316726).

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

434556655434 is a wasteful number, since it uses less digits than its factorization.

434556655434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812053 (or 812047 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 434556655434 in words is "four hundred thirty-four billion, five hundred fifty-six million, six hundred fifty-five thousand, four hundred thirty-four".