1144512225440 has 48 divisors (see below), whose sum is σ = 2728716689160. Its totient is φ = 453604838400.

The previous prime is 1144512225433. The next prime is 1144512225457. The reversal of 1144512225440 is 445222154411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 834160728976 + 310351496464 = 913324^2 + 557092^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1144512225440.

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 7 ways as a sum of consecutive naturals, for example, 32795411 + ... + 32830290.

Almost surely, 2^{1144512225440} is an apocalyptic number.

1144512225440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144512225440 is an abundant number, since it is smaller than the sum of its proper divisors (1584204463720).

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

1144512225440 is a wasteful number, since it uses less digits than its factorization.

1144512225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65625825 (or 65625817 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 1144512225440 its reverse (445222154411), we get a palindrome (1589734379851).

The spelling of 1144512225440 in words is "one trillion, one hundred forty-four billion, five hundred twelve million, two hundred twenty-five thousand, four hundred forty".