2000441412100 has 72 divisors (see below), whose sum is σ = 4376290524480. Its totient is φ = 793683204480.

The previous prime is 2000441412083. The next prime is 2000441412119. The reversal of 2000441412100 is 12141440002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8076906 + ... + 8320894.

It is an arithmetic number, because the mean of its divisors is an integer number (60781812840).

Almost surely, 2^{2000441412100} is an apocalyptic number.

2000441412100 is a gapful number since it is divisible by the number (20) 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 2000441412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188145262240).

2000441412100 is an abundant number, since it is smaller than the sum of its proper divisors (2375849112380).

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

2000441412100 is a wasteful number, since it uses less digits than its factorization.

2000441412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244669 (or 244662 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2000441412100 its reverse (12141440002), we get a palindrome (2012582852102).

The spelling of 2000441412100 in words is "two trillion, four hundred forty-one million, four hundred twelve thousand, one hundred".