434340043434 has 96 divisors (see below), whose sum is σ = 1089164943360. Its totient is φ = 123708967200.

The previous prime is 434340043429. The next prime is 434340043439.

434340043434 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (434340043429) and next prime (434340043439).

It is not an unprimeable number, because it can be changed into a prime (434340043439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23229 + ... + 932319.

It is an arithmetic number, because the mean of its divisors is an integer number (11345468160).

Almost surely, 2^434340043434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434340043434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544582471680).

434340043434 is an abundant number, since it is smaller than the sum of its proper divisors (654824899926).

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

434340043434 is a wasteful number, since it uses less digits than its factorization.

434340043434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909256 (or 909253 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 4343400 and 43434, that multiplied together give a square (188651235600 = 434340²).

The spelling of 434340043434 in words is "four hundred thirty-four billion, three hundred forty million, forty-three thousand, four hundred thirty-four".