114200343240440 has 128 divisors (see below), whose sum is σ = 268639416000000. Its totient is φ = 43638153140736.

The previous prime is 114200343240419. The next prime is 114200343240443. The reversal of 114200343240440 is 44042343002411.

It is a junction number, because it is equal to n+sod(n) for n = 114200343240397 and 114200343240406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114200343240443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39938471 + ... + 42702249.

It is an arithmetic number, because the mean of its divisors is an integer number (2098745437500).

Almost surely, 2^{114200343240440} is an apocalyptic number.

114200343240440 is a gapful number since it is divisible by the number (10) 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 114200343240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134319708000000).

114200343240440 is an abundant number, since it is smaller than the sum of its proper divisors (154439072759560).

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

114200343240440 is a wasteful number, since it uses less digits than its factorization.

114200343240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764197 (or 2764193 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 114200343240440 its reverse (44042343002411), we get a palindrome (158242686242851).

The spelling of 114200343240440 in words is "one hundred fourteen trillion, two hundred billion, three hundred forty-three million, two hundred forty thousand, four hundred forty".