114433221104240 has 80 divisors (see below), whose sum is σ = 269486965542816. Its totient is φ = 45184146432000.

The previous prime is 114433221104203. The next prime is 114433221104297. The reversal of 114433221104240 is 42401122334411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 114433221104197 and 114433221104206.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 799820 + ... + 15149460.

Almost surely, 2^{114433221104240} is an apocalyptic number.

114433221104240 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 114433221104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134743482771408).

114433221104240 is an abundant number, since it is smaller than the sum of its proper divisors (155053744438576).

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

114433221104240 is a wasteful number, since it uses less digits than its factorization.

114433221104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14350938 (or 14350932 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 114433221104240 its reverse (42401122334411), we get a palindrome (156834343438651).

The spelling of 114433221104240 in words is "one hundred fourteen trillion, four hundred thirty-three billion, two hundred twenty-one million, one hundred four thousand, two hundred forty".