1414440144 has 200 divisors, whose sum is σ = 4529857640. Its totient is φ = 423263232.

The previous prime is 1414440133. The next prime is 1414440173. The reversal of 1414440144 is 4410444141.

It can be written as a sum of positive squares in 4 ways, for example, as 26132544 + 1388307600 = 5112^2 + 37260^2 .

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 622242 + ... + 624510.

Almost surely, 2^1414440144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264928820).

1414440144 is an abundant number, since it is smaller than the sum of its proper divisors (3115417496).

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

1414440144 is a wasteful number, since it uses less digits than its factorization.

1414440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1414440144 is about 37609.0433805488. The cubic root of 1414440144 is about 1122.5219910937.

Adding to 1414440144 its reverse (4410444141), we get a palindrome (5824884285).

The spelling of 1414440144 in words is "one billion, four hundred fourteen million, four hundred forty thousand, one hundred forty-four".