114201194400 has 108 divisors (see below), whose sum is σ = 402701987142. Its totient is φ = 30453649920.

The previous prime is 114201194399. The next prime is 114201194449. The reversal of 114201194400 is 4491102411.

114201194400 is a `hidden beast` number, since 1 + 1 + 4 + 201 + 19 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 57479103504 + 56722090896 = 239748^2 + 238164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7923439 + ... + 7937838.

Almost surely, 2^114201194400 is an apocalyptic number.

114201194400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114201194400 is an abundant number, since it is smaller than the sum of its proper divisors (288500792742).

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

114201194400 is a wasteful number, since it uses less digits than its factorization.

114201194400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15861303 (or 15861287 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 114201194400 its reverse (4491102411), we get a palindrome (118692296811).

The spelling of 114201194400 in words is "one hundred fourteen billion, two hundred one million, one hundred ninety-four thousand, four hundred".