2014003444020 has 144 divisors (see below), whose sum is σ = 5845077080640. Its totient is φ = 518078781440.

The previous prime is 2014003444007. The next prime is 2014003444021. The reversal of 2014003444020 is 204443004102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014003444021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8864359 + ... + 9088721.

It is an arithmetic number, because the mean of its divisors is an integer number (40590813060).

Almost surely, 2^{2014003444020} is an apocalyptic number.

2014003444020 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 2014003444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922538540320).

2014003444020 is an abundant number, since it is smaller than the sum of its proper divisors (3831073636620).

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

2014003444020 is a wasteful number, since it uses less digits than its factorization.

2014003444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224546 (or 224503 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2014003444020 its reverse (204443004102), we get a palindrome (2218446448122).

The spelling of 2014003444020 in words is "two trillion, fourteen billion, three million, four hundred forty-four thousand, twenty".