114011400 has 192 divisors, whose sum is σ = 379886400. Its totient is φ = 28200960.

The previous prime is 114011399. The next prime is 114011411. The reversal of 114011400 is 4110411.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 832132 + ... + 832268.

It is an arithmetic number, because the mean of its divisors is an integer number (1978575).

Almost surely, 2^114011400 is an apocalyptic number.

114011400 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 114011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189943200).

114011400 is an abundant number, since it is smaller than the sum of its proper divisors (265875000).

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

114011400 is a wasteful number, since it uses less digits than its factorization.

114011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 114011400 is about 10677.6120925982. The cubic root of 114011400 is about 484.8969207372.

Adding to 114011400 its reverse (4110411), we get a palindrome (118121811).

It can be divided in two parts, 114011 and 400, that added together give a palindrome (114411).

The spelling of 114011400 in words is "one hundred fourteen million, eleven thousand, four hundred".