2011012441000 has 64 divisors (see below), whose sum is σ = 4706530920000. Its totient is φ = 804274753600.

The previous prime is 2011012440989. The next prime is 2011012441001. The reversal of 2011012441000 is 1442101102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2011012441001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6139371 + ... + 6458629.

It is an arithmetic number, because the mean of its divisors is an integer number (73539545625).

Almost surely, 2^{2011012441000} is an apocalyptic number.

2011012441000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011012441000 is an abundant number, since it is smaller than the sum of its proper divisors (2695518479000).

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

2011012441000 is a wasteful number, since it uses less digits than its factorization.

2011012441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325579 (or 325565 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2011012441000 its reverse (1442101102), we get a palindrome (2012454542102).

The spelling of 2011012441000 in words is "two trillion, eleven billion, twelve million, four hundred forty-one thousand".