434322000332244 has 144 divisors (see below), whose sum is σ = 1134424705639680. Its totient is φ = 140001829850880.

The previous prime is 434322000332203. The next prime is 434322000332249. The reversal of 434322000332244 is 442233000223434.

434322000332244 is a `hidden beast` number, since 4 + 3 + 4 + 322 + 0 + 0 + 0 + 3 + 322 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434322000332199 and 434322000332208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434322000332249) 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, 718427739 + ... + 719032029.

It is an arithmetic number, because the mean of its divisors is an integer number (7877949344720).

Almost surely, 2^{434322000332244} 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 434322000332244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567212352819840).

434322000332244 is an abundant number, since it is smaller than the sum of its proper divisors (700102705307436).

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

434322000332244 is a wasteful number, since it uses less digits than its factorization.

434322000332244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607630 (or 607625 counting only the distinct ones).

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

Adding to 434322000332244 its reverse (442233000223434), we get a palindrome (876555000555678).

The spelling of 434322000332244 in words is "four hundred thirty-four trillion, three hundred twenty-two billion, three hundred thirty-two thousand, two hundred forty-four".