1414014200 has 192 divisors, whose sum is σ = 3625884000. Its totient is φ = 510935040.

The previous prime is 1414014149. The next prime is 1414014209. The reversal of 1414014200 is 24104141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414014209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12513344 + ... + 12513456.

Almost surely, 2^1414014200 is an apocalyptic number.

1414014200 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 1414014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812942000).

1414014200 is an abundant number, since it is smaller than the sum of its proper divisors (2211869800).

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

1414014200 is a wasteful number, since it uses less digits than its factorization.

1414014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1414014200 is about 37603.3801672137. The cubic root of 1414014200 is about 1122.4093011572.

Adding to 1414014200 its reverse (24104141), we get a palindrome (1438118341).

The spelling of 1414014200 in words is "one billion, four hundred fourteen million, fourteen thousand, two hundred".