114332444120340 has 192 divisors, whose sum is σ = 356857117344000. Its totient is φ = 30389601779712.

The previous prime is 114332444120339. The next prime is 114332444120407. The reversal of 114332444120340 is 43021444233411.

114332444120340 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 2 + 4 + 441 + 203 + 4 + 0 = 666.

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 = 114332444120295 and 114332444120304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658134811 + ... + 658308509.

It is an arithmetic number, because the mean of its divisors is an integer number (1858630819500).

Almost surely, 2^{114332444120340} is an apocalyptic number.

114332444120340 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 114332444120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178428558672000).

114332444120340 is an abundant number, since it is smaller than the sum of its proper divisors (242524673223660).

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

114332444120340 is a wasteful number, since it uses less digits than its factorization.

114332444120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177671 (or 177663 counting only the distinct ones).

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

Adding to 114332444120340 its reverse (43021444233411), we get a palindrome (157353888353751).

The spelling of 114332444120340 in words is "one hundred fourteen trillion, three hundred thirty-two billion, four hundred forty-four million, one hundred twenty thousand, three hundred forty".