1441440000 has 1080 divisors, whose sum is σ = 6972917952. Its totient is φ = 276480000.

The previous prime is 1441439971. The next prime is 1441440019. The reversal of 1441440000 is 441441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110879994 + ... + 110880006.

Almost surely, 2^1441440000 is an apocalyptic number.

1441440000 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 1441440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486458976).

1441440000 is an abundant number, since it is smaller than the sum of its proper divisors (5531477952).

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

1441440000 is a wasteful number, since it uses less digits than its factorization.

1441440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1441440000 is about 37966.3008469353. The cubic root of 1441440000 is about 1129.6195236670.

Adding to 1441440000 its reverse (441441), we get a palindrome (1441881441).

Multiplying 1441440000 by its reverse (441441), we get a square (636310715040000 = 25225200²).

It can be divided in two parts, 144 and 1440000, that multiplied together give a 4-th power (207360000 = 120⁴).

The spelling of 1441440000 in words is "one billion, four hundred forty-one million, four hundred forty thousand".