1413314144 has 48 divisors (see below), whose sum is σ = 3040934400. Its totient is φ = 641247360.

The previous prime is 1413314137. The next prime is 1413314167. The reversal of 1413314144 is 4414133141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207497 + ... + 214199.

It is an arithmetic number, because the mean of its divisors is an integer number (63352800).

Almost surely, 2^1413314144 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 1413314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520467200).

1413314144 is an abundant number, since it is smaller than the sum of its proper divisors (1627620256).

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

1413314144 is a wasteful number, since it uses less digits than its factorization.

1413314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7323 (or 7315 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 1413314144 is about 37594.0705963055. The cubic root of 1413314144 is about 1122.2240415674.

Adding to 1413314144 its reverse (4414133141), we get a palindrome (5827447285).

The spelling of 1413314144 in words is "one billion, four hundred thirteen million, three hundred fourteen thousand, one hundred forty-four".