114230352414040 has 128 divisors (see below), whose sum is σ = 274744396523520. Its totient is φ = 42637969792000.

The previous prime is 114230352413987. The next prime is 114230352414049. The reversal of 114230352414040 is 40414253032411.

It is a junction number, because it is equal to n+sod(n) for n = 114230352413987 and 114230352414005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114230352414049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1780615965 + ... + 1780680115.

It is an arithmetic number, because the mean of its divisors is an integer number (2146440597840).

Almost surely, 2^{114230352414040} is an apocalyptic number.

114230352414040 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 114230352414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137372198261760).

114230352414040 is an abundant number, since it is smaller than the sum of its proper divisors (160514044109480).

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

114230352414040 is a wasteful number, since it uses less digits than its factorization.

114230352414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111433 (or 111429 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 114230352414040 in words is "one hundred fourteen trillion, two hundred thirty billion, three hundred fifty-two million, four hundred fourteen thousand, forty".