114435243034400 has 144 divisors (see below), whose sum is σ = 284402125848960. Its totient is φ = 44953785139200.

The previous prime is 114435243034391. The next prime is 114435243034417. The reversal of 114435243034400 is 4430342534411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10677941 + ... + 18517259.

It is an arithmetic number, because the mean of its divisors is an integer number (1975014762840).

Almost surely, 2^{114435243034400} is an apocalyptic number.

114435243034400 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 114435243034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142201062924480).

114435243034400 is an abundant number, since it is smaller than the sum of its proper divisors (169966882814560).

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

114435243034400 is a wasteful number, since it uses less digits than its factorization.

114435243034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839667 (or 7839654 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

Adding to 114435243034400 its reverse (4430342534411), we get a palindrome (118865585568811).

The spelling of 114435243034400 in words is "one hundred fourteen trillion, four hundred thirty-five billion, two hundred forty-three million, thirty-four thousand, four hundred".