114213042400 has 144 divisors (see below), whose sum is σ = 283571850240. Its totient is φ = 44910835200.

The previous prime is 114213042389. The next prime is 114213042409. The reversal of 114213042400 is 4240312411.

It is a happy number.

114213042400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114213042409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20842861 + ... + 20848339.

It is an arithmetic number, because the mean of its divisors is an integer number (1969248960).

Almost surely, 2^114213042400 is an apocalyptic number.

114213042400 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 114213042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141785925120).

114213042400 is an abundant number, since it is smaller than the sum of its proper divisors (169358807840).

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

114213042400 is a wasteful number, since it uses less digits than its factorization.

114213042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 114213042400 its reverse (4240312411), we get a palindrome (118453354811).

The spelling of 114213042400 in words is "one hundred fourteen billion, two hundred thirteen million, forty-two thousand, four hundred".