1441981800 has 216 divisors, whose sum is σ = 5633637750. Its totient is φ = 329575680.

The previous prime is 1441981799. The next prime is 1441981811. The reversal of 1441981800 is 81891441.

It can be written as a sum of positive squares in 3 ways, for example, as 813276324 + 628705476 = 28518^2 + 25074^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 53 ways as a sum of consecutive naturals, for example, 80026 + ... + 96374.

Almost surely, 2^1441981800 is an apocalyptic number.

1441981800 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 1441981800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816818875).

1441981800 is an abundant number, since it is smaller than the sum of its proper divisors (4191655950).

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

1441981800 is a wasteful number, since it uses less digits than its factorization.

1441981800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16385 (or 16366 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1441981800 is about 37973.4354516417. The cubic root of 1441981800 is about 1129.7610375217.

The spelling of 1441981800 in words is "one billion, four hundred forty-one million, nine hundred eighty-one thousand, eight hundred".