114413320423440 has 240 divisors, whose sum is σ = 385123493362608. Its totient is φ = 30439975747584.

The previous prime is 114413320423421. The next prime is 114413320423471. The reversal of 114413320423440 is 44324023314411.

114413320423440 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 3 + 3 + 204 + 2 + 3 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3890235527424 + 110523084896016 = 1972368^2 + 10512996^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114413320423395 and 114413320423404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698851672 + ... + 699015368.

Almost surely, 2^{114413320423440} is an apocalyptic number.

114413320423440 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 114413320423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192561746681304).

114413320423440 is an abundant number, since it is smaller than the sum of its proper divisors (270710172939168).

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

114413320423440 is a wasteful number, since it uses less digits than its factorization.

114413320423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165946 (or 165937 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 114413320423440 its reverse (44324023314411), we get a palindrome (158737343737851).

The spelling of 114413320423440 in words is "one hundred fourteen trillion, four hundred thirteen billion, three hundred twenty million, four hundred twenty-three thousand, four hundred forty".