1440000342144 has 1536 divisors, whose sum is σ = 5532915548160. Its totient is φ = 349187604480.

The previous prime is 1440000342037. The next prime is 1440000342197. The reversal of 1440000342144 is 4412430000441.

1440000342144 is a `hidden beast` number, since 1 + 440 + 0 + 0 + 0 + 3 + 4 + 214 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10992368959 + ... + 10992369089.

It is an arithmetic number, because the mean of its divisors is an integer number (3602158560).

Almost surely, 2^{1440000342144} is an apocalyptic number.

1440000342144 is a gapful number since it is divisible by the number (14) 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 1440000342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766457774080).

1440000342144 is an abundant number, since it is smaller than the sum of its proper divisors (4092915206016).

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

1440000342144 is a wasteful number, since it uses less digits than its factorization.

1440000342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1440000342144 its reverse (4412430000441), we get a palindrome (5852430342585).

The spelling of 1440000342144 in words is "one trillion, four hundred forty billion, three hundred forty-two thousand, one hundred forty-four".