434420340224 has 80 divisors (see below), whose sum is σ = 939508648848. Its totient is φ = 199483318272.

The previous prime is 434420340163. The next prime is 434420340241. The reversal of 434420340224 is 422043024434.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1145579 + ... + 1476885.

Almost surely, 2^434420340224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434420340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469754324424).

434420340224 is an abundant number, since it is smaller than the sum of its proper divisors (505088308624).

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

434420340224 is a wasteful number, since it uses less digits than its factorization.

434420340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331535 (or 331519 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 434420340224 its reverse (422043024434), we get a palindrome (856463364658).

The spelling of 434420340224 in words is "four hundred thirty-four billion, four hundred twenty million, three hundred forty thousand, two hundred twenty-four".