1413241344 has 240 divisors, whose sum is σ = 4358241888. Its totient is φ = 456855552.

The previous prime is 1413241327. The next prime is 1413241367. The reversal of 1413241344 is 4431423141.

1413241344 is a `hidden beast` number, since 1 + 413 + 241 + 3 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4603239 + ... + 4603545.

Almost surely, 2^1413241344 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 1413241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179120944).

1413241344 is an abundant number, since it is smaller than the sum of its proper divisors (2945000544).

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

1413241344 is an frugal number, since it uses more digits than its factorization.

1413241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 349 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1413241344 is about 37593.1023460422. The cubic root of 1413241344 is about 1122.2047725999.

Adding to 1413241344 its reverse (4431423141), we get a palindrome (5844664485).

The spelling of 1413241344 in words is "one billion, four hundred thirteen million, two hundred forty-one thousand, three hundred forty-four".