434463141364434 has 512 divisors, whose sum is σ = 1239822643691520. Its totient is φ = 109694601216000.

The previous prime is 434463141364381. The next prime is 434463141364451.

434463141364434 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 6 + 3 + 141 + 3 + 64 + 434 = 666.

434463141364434 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18724426677 + ... + 18724449879.

It is an arithmetic number, because the mean of its divisors is an integer number (2421528600960).

Almost surely, 2^{434463141364434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434463141364434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619911321845760).

434463141364434 is an abundant number, since it is smaller than the sum of its proper divisors (805359502327086).

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

434463141364434 is a wasteful number, since it uses less digits than its factorization.

434463141364434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24583 (or 24577 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 434463141364434 in words is "four hundred thirty-four trillion, four hundred sixty-three billion, one hundred forty-one million, three hundred sixty-four thousand, four hundred thirty-four".