4433434342100 has 144 divisors (see below), whose sum is σ = 9762437924400. Its totient is φ = 1747447603200.

The previous prime is 4433434342081. The next prime is 4433434342189. The reversal of 4433434342100 is 12434343344.

It can be written as a sum of positive squares in 24 ways, for example, as 3135739723204 + 1297694618896 = 1770802^2 + 1139164^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2051565020 + ... + 2051567180.

Almost surely, 2^{4433434342100} 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 4433434342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881218962200).

4433434342100 is an abundant number, since it is smaller than the sum of its proper divisors (5329003582300).

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

4433434342100 is a wasteful number, since it uses less digits than its factorization.

4433434342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 4433434342100 its reverse (12434343344), we get a palindrome (4445868685444).

The spelling of 4433434342100 in words is "four trillion, four hundred thirty-three billion, four hundred thirty-four million, three hundred forty-two thousand, one hundred".