1441443600 has 300 divisors, whose sum is σ = 5479625844. Its totient is φ = 361635840.

The previous prime is 1441443581. The next prime is 1441443613. The reversal of 1441443600 is 63441441.

1441443600 is a `hidden beast` number, since 1 + 4 + 4 + 14 + 43 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 142850304 + 1298593296 = 11952^2 + 36036^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 549492 + ... + 552108.

Almost surely, 2^1441443600 is an apocalyptic number.

1441443600 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 1441443600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739812922).

1441443600 is an abundant number, since it is smaller than the sum of its proper divisors (4038182244).

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

1441443600 is a wasteful number, since it uses less digits than its factorization.

1441443600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2644 counting only the distinct ones).

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

The square root of 1441443600 is about 37966.3482573713. The cubic root of 1441443600 is about 1129.6204640754.

The spelling of 1441443600 in words is "one billion, four hundred forty-one million, four hundred forty-three thousand, six hundred".