2014041020200 has 192 divisors, whose sum is σ = 5268709566720. Its totient is φ = 709695360000.

The previous prime is 2014041020197. The next prime is 2014041020207. The reversal of 2014041020200 is 20201404102.

It is a super-2 number, since 2×2014041020200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2014041020207) 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, 10346974 + ... + 10539826.

It is an arithmetic number, because the mean of its divisors is an integer number (27441195660).

Almost surely, 2^{2014041020200} is an apocalyptic number.

2014041020200 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 2014041020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634354783360).

2014041020200 is an abundant number, since it is smaller than the sum of its proper divisors (3254668546520).

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

2014041020200 is a wasteful number, since it uses less digits than its factorization.

2014041020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193028 (or 193019 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2014041020200 its reverse (20201404102), we get a palindrome (2034242424302).

The spelling of 2014041020200 in words is "two trillion, fourteen billion, forty-one million, twenty thousand, two hundred".