1440000000000 has 495 divisors, whose sum is σ = 5199841202101. Its totient is φ = 384000000000.

The previous prime is 1439999999941. The next prime is 1440000000007. The reversal of 1440000000000 is 441.

The square root of 1440000000000 is 1200000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 8282456064 + 1431717543936 = 91008^2 + 1196544^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1440000000000.

It is not an unprimeable number, because it can be changed into a prime (1440000000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 287999999998 + ... + 288000000002.

Almost surely, 2^{1440000000000} is an apocalyptic number.

1440000000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1440000000000 is the 1200000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440000000000

1440000000000 is an abundant number, since it is smaller than the sum of its proper divisors (3759841202101).

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

1440000000000 is an frugal number, since it uses more digits than its factorization.

1440000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Multiplying 1440000000000 by its product of nonzero digits (16), we get a square (23040000000000 = 4800000²).

1440000000000 divided by its product of nonzero digits (16) gives a square (90000000000 = 300000²).

Adding to 1440000000000 its reverse (441), we get a palindrome (1440000000441).

Multiplying 1440000000000 by its reverse (441), we get a square (635040000000000 = 25200000²).

The spelling of 1440000000000 in words is "one trillion, four hundred forty billion", and thus it is an aban number.