2005443603436 has 96 divisors (see below), whose sum is σ = 4344120668160. Its totient is φ = 788834640384.

The previous prime is 2005443603377. The next prime is 2005443603439. The reversal of 2005443603436 is 6343063445002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2005443603439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60963385 + ... + 60996271.

It is an arithmetic number, because the mean of its divisors is an integer number (45251256960).

Almost surely, 2^{2005443603436} is an apocalyptic number.

2005443603436 is a gapful number since it is divisible by the number (26) 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 2005443603436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172060334080).

2005443603436 is an abundant number, since it is smaller than the sum of its proper divisors (2338677064724).

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

2005443603436 is a wasteful number, since it uses less digits than its factorization.

2005443603436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33863 (or 33861 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 40.

The spelling of 2005443603436 in words is "two trillion, five billion, four hundred forty-three million, six hundred three thousand, four hundred thirty-six".