434412213000440 has 64 divisors (see below), whose sum is σ = 981345474869760. Its totient is φ = 173068624090240.

The previous prime is 434412213000433. The next prime is 434412213000443. The reversal of 434412213000440 is 44000312214434.

It is a junction number, because it is equal to n+sod(n) for n = 434412213000397 and 434412213000406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434412213000443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47004167 + ... + 55481673.

It is an arithmetic number, because the mean of its divisors is an integer number (15333523044840).

Almost surely, 2^{434412213000440} is an apocalyptic number.

434412213000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434412213000440 is an abundant number, since it is smaller than the sum of its proper divisors (546933261869320).

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

434412213000440 is a wasteful number, since it uses less digits than its factorization.

434412213000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482652 (or 8482648 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 434412213000440 its reverse (44000312214434), we get a palindrome (478412525214874).

The spelling of 434412213000440 in words is "four hundred thirty-four trillion, four hundred twelve billion, two hundred thirteen million, four hundred forty", and thus it is an aban number.