114030430400 has 336 divisors, whose sum is σ = 312672130560. Its totient is φ = 40732876800.

The previous prime is 114030430387. The next prime is 114030430417. The reversal of 114030430400 is 4034030411.

It is a happy number.

114030430400 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 (20).

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, 49642052 + ... + 49644348.

Almost surely, 2^114030430400 is an apocalyptic number.

114030430400 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 114030430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156336065280).

114030430400 is an abundant number, since it is smaller than the sum of its proper divisors (198641700160).

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

114030430400 is a wasteful number, since it uses less digits than its factorization.

114030430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 114030430400 its reverse (4034030411), we get a palindrome (118064460811).

The spelling of 114030430400 in words is "one hundred fourteen billion, thirty million, four hundred thirty thousand, four hundred".