114422421400 has 384 divisors, whose sum is σ = 318039644160. Its totient is φ = 37481472000.

The previous prime is 114422421359. The next prime is 114422421403. The reversal of 114422421400 is 4124224411.

It is a happy number.

114422421400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114422421403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 685164117 + ... + 685164283.

It is an arithmetic number, because the mean of its divisors is an integer number (828228240).

Almost surely, 2^114422421400 is an apocalyptic number.

114422421400 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 114422421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159019822080).

114422421400 is an abundant number, since it is smaller than the sum of its proper divisors (203617222760).

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

114422421400 is a wasteful number, since it uses less digits than its factorization.

114422421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 114422421400 its reverse (4124224411), we get a palindrome (118546645811).

The spelling of 114422421400 in words is "one hundred fourteen billion, four hundred twenty-two million, four hundred twenty-one thousand, four hundred".