1414221200 has 240 divisors, whose sum is σ = 4050407424. Its totient is φ = 464486400.

The previous prime is 1414221191. The next prime is 1414221223. The reversal of 1414221200 is 21224141.

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, 11135537 + ... + 11135663.

Almost surely, 2^1414221200 is an apocalyptic number.

1414221200 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 1414221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025203712).

1414221200 is an abundant number, since it is smaller than the sum of its proper divisors (2636186224).

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

1414221200 is a wasteful number, since it uses less digits than its factorization.

1414221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

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

The square root of 1414221200 is about 37606.1324786264. The cubic root of 1414221200 is about 1122.4640689686.

Adding to 1414221200 its reverse (21224141), we get a palindrome (1435445341).

The spelling of 1414221200 in words is "one billion, four hundred fourteen million, two hundred twenty-one thousand, two hundred".