434342545243434 has 128 divisors (see below), whose sum is σ = 1001153464047360. Its totient is φ = 139466657952000.

The previous prime is 434342545243433. The next prime is 434342545243459.

434342545243434 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 4 + 2 + 54 + 524 + 34 + 34 = 666.

434342545243434 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×434342545243434² (a number of 30 digits) contains 22 as substring.

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 (434342545243433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6371334169 + ... + 6371402339.

It is an arithmetic number, because the mean of its divisors is an integer number (7821511437870).

Almost surely, 2^{434342545243434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434342545243434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500576732023680).

434342545243434 is an abundant number, since it is smaller than the sum of its proper divisors (566810918803926).

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

434342545243434 is a wasteful number, since it uses less digits than its factorization.

434342545243434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99893 (or 99887 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 54.

The spelling of 434342545243434 in words is "four hundred thirty-four trillion, three hundred forty-two billion, five hundred forty-five million, two hundred forty-three thousand, four hundred thirty-four".