2014344211440 has 320 divisors, whose sum is σ = 6853981888512. Its totient is φ = 485332377600.

The previous prime is 2014344211427. The next prime is 2014344211441. The reversal of 2014344211440 is 441124434102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2014344211398 and 2014344211407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014344211441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765036364 + ... + 765038996.

Almost surely, 2^{2014344211440} is an apocalyptic number.

2014344211440 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 2014344211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426990944256).

2014344211440 is an abundant number, since it is smaller than the sum of its proper divisors (4839637677072).

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

2014344211440 is a wasteful number, since it uses less digits than its factorization.

2014344211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2014344211440 its reverse (441124434102), we get a palindrome (2455468645542).

The spelling of 2014344211440 in words is "two trillion, fourteen billion, three hundred forty-four million, two hundred eleven thousand, four hundred forty".