2014112414440 has 128 divisors (see below), whose sum is σ = 5288703068160. Its totient is φ = 676071753984.

The previous prime is 2014112414429. The next prime is 2014112414453. The reversal of 2014112414440 is 444142114102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2014112414399 and 2014112414408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2728549 + ... + 3387211.

It is an arithmetic number, because the mean of its divisors is an integer number (41317992720).

Almost surely, 2^{2014112414440} is an apocalyptic number.

2014112414440 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 2014112414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644351534080).

2014112414440 is an abundant number, since it is smaller than the sum of its proper divisors (3274590653720).

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

2014112414440 is a wasteful number, since it uses less digits than its factorization.

2014112414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658911 (or 658907 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 2014112414440 its reverse (444142114102), we get a palindrome (2458254528542).

The spelling of 2014112414440 in words is "two trillion, fourteen billion, one hundred twelve million, four hundred fourteen thousand, four hundred forty".