32434404044100 has 144 divisors (see below), whose sum is σ = 94087587508992. Its totient is φ = 8626708490240.

The previous prime is 32434404044093. The next prime is 32434404044191. The reversal of 32434404044100 is 144040443423.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196141054 + ... + 196306346.

It is an arithmetic number, because the mean of its divisors is an integer number (653386024368).

Almost surely, 2^{32434404044100} is an apocalyptic number.

32434404044100 is a gapful number since it is divisible by the number (30) 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 32434404044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47043793754496).

32434404044100 is an abundant number, since it is smaller than the sum of its proper divisors (61653183464892).

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

32434404044100 is a wasteful number, since it uses less digits than its factorization.

32434404044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167006 (or 166999 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 32434404044100 its reverse (144040443423), we get a palindrome (32578444487523).

The spelling of 32434404044100 in words is "thirty-two trillion, four hundred thirty-four billion, four hundred four million, forty-four thousand, one hundred".