1416214800 has 960 divisors, whose sum is σ = 6819563520. Its totient is φ = 269568000.

The previous prime is 1416214783. The next prime is 1416214823. The reversal of 1416214800 is 84126141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 10810735 + ... + 10810865.

It is an arithmetic number, because the mean of its divisors is an integer number (7103712).

Almost surely, 2^1416214800 is an apocalyptic number.

1416214800 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 1416214800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409781760).

1416214800 is an abundant number, since it is smaller than the sum of its proper divisors (5403348720).

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

1416214800 is a wasteful number, since it uses less digits than its factorization.

1416214800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1416214800 is about 37632.6294590213. The cubic root of 1416214800 is about 1122.9912598797.

The spelling of 1416214800 in words is "one billion, four hundred sixteen million, two hundred fourteen thousand, eight hundred".