1414221120 has 336 divisors, whose sum is σ = 5436412800. Its totient is φ = 347867136.

The previous prime is 1414221119. The next prime is 1414221131. The reversal of 1414221120 is 211224141.

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

It is a junction number, because it is equal to n+sod(n) for n = 1414221093 and 1414221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010181 + ... + 1011579.

It is an arithmetic number, because the mean of its divisors is an integer number (16179800).

Almost surely, 2^1414221120 is an apocalyptic number.

1414221120 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 1414221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718206400).

1414221120 is an abundant number, since it is smaller than the sum of its proper divisors (4022191680).

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

1414221120 is a wasteful number, since it uses less digits than its factorization.

1414221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1414221120 is about 37606.1314149701. The cubic root of 1414221120 is about 1122.4640478033.

Adding to 1414221120 its reverse (211224141), we get a palindrome (1625445261).

The spelling of 1414221120 in words is "one billion, four hundred fourteen million, two hundred twenty-one thousand, one hundred twenty".