114342034400 has 288 divisors, whose sum is σ = 318777596928. Its totient is φ = 39643084800.

The previous prime is 114342034337. The next prime is 114342034439. The reversal of 114342034400 is 4430243411.

114342034400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 114342034400.

It is a congruent number.

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, 80352089 + ... + 80353511.

It is an arithmetic number, because the mean of its divisors is an integer number (1106866656).

Almost surely, 2^114342034400 is an apocalyptic number.

114342034400 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 114342034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159388798464).

114342034400 is an abundant number, since it is smaller than the sum of its proper divisors (204435562528).

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

114342034400 is a wasteful number, since it uses less digits than its factorization.

114342034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 114342034400 its reverse (4430243411), we get a palindrome (118772277811).

The spelling of 114342034400 in words is "one hundred fourteen billion, three hundred forty-two million, thirty-four thousand, four hundred".