1414312200 has 144 divisors (see below), whose sum is σ = 5428313280. Its totient is φ = 323268480.

The previous prime is 1414312199. The next prime is 1414312201. The reversal of 1414312200 is 22134141.

1414312200 is a `hidden beast` number, since 1 + 414 + 31 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1414312199) and next prime (1414312201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1414312201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43524 + ... + 68723.

It is an arithmetic number, because the mean of its divisors is an integer number (37696620).

Almost surely, 2^1414312200 is an apocalyptic number.

1414312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414312200 is an abundant number, since it is smaller than the sum of its proper divisors (4014001080).

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

1414312200 is a wasteful number, since it uses less digits than its factorization.

1414312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112276 (or 112264 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1414312200 is about 37607.3423682132. The cubic root of 1414312200 is about 1122.4881439481.

Adding to 1414312200 its reverse (22134141), we get a palindrome (1436446341).

The spelling of 1414312200 in words is "one billion, four hundred fourteen million, three hundred twelve thousand, two hundred".