434322220000 has 240 divisors, whose sum is σ = 1088216059392. Its totient is φ = 170553600000.

The previous prime is 434322219967. The next prime is 434322220027. The reversal of 434322220000 is 22223434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 256539154 + ... + 256540846.

Almost surely, 2^434322220000 is an apocalyptic number.

434322220000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434322220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544108029696).

434322220000 is an abundant number, since it is smaller than the sum of its proper divisors (653893839392).

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

434322220000 is a wasteful number, since it uses less digits than its factorization.

434322220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 434322220000 its reverse (22223434), we get a palindrome (434344443434).

The spelling of 434322220000 in words is "four hundred thirty-four billion, three hundred twenty-two million, two hundred twenty thousand".