2014420421440 has 224 divisors, whose sum is σ = 5592322632960. Its totient is φ = 676804018176.

The previous prime is 2014420421393. The next prime is 2014420421443. The reversal of 2014420421440 is 441240244102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 2014420421399 and 2014420421408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014420421443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101970604 + ... + 101990356.

It is an arithmetic number, because the mean of its divisors is an integer number (24965726040).

Almost surely, 2^{2014420421440} is an apocalyptic number.

2014420421440 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 2014420421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796161316480).

2014420421440 is an abundant number, since it is smaller than the sum of its proper divisors (3577902211520).

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

2014420421440 is a wasteful number, since it uses less digits than its factorization.

2014420421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20689 (or 20679 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 2014420421440 its reverse (441240244102), we get a palindrome (2455660665542).

The spelling of 2014420421440 in words is "two trillion, fourteen billion, four hundred twenty million, four hundred twenty-one thousand, four hundred forty".