1441638240 has 192 divisors, whose sum is σ = 5206311936. Its totient is φ = 328476672.

The previous prime is 1441638221. The next prime is 1441638277. The reversal of 1441638240 is 428361441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1689654 + ... + 1690506.

It is an arithmetic number, because the mean of its divisors is an integer number (27116208).

Almost surely, 2^1441638240 is an apocalyptic number.

1441638240 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 1441638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603155968).

1441638240 is an abundant number, since it is smaller than the sum of its proper divisors (3764673696).

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

1441638240 is a wasteful number, since it uses less digits than its factorization.

1441638240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1441638240 is about 37968.9114934837. The cubic root of 1441638240 is about 1129.6713064928.

Adding to 1441638240 its reverse (428361441), we get a palindrome (1869999681).

The spelling of 1441638240 in words is "one billion, four hundred forty-one million, six hundred thirty-eight thousand, two hundred forty".