1144400204240 has 40 divisors (see below), whose sum is σ = 2664660778920. Its totient is φ = 457083900416.

The previous prime is 1144400204219. The next prime is 1144400204257. The reversal of 1144400204240 is 424020044411.

It can be written as a sum of positive squares in 4 ways, for example, as 277661548096 + 866738656144 = 526936^2 + 930988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 10510835 + ... + 10619154.

It is an arithmetic number, because the mean of its divisors is an integer number (66616519473).

Almost surely, 2^{1144400204240} is an apocalyptic number.

1144400204240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144400204240 is an abundant number, since it is smaller than the sum of its proper divisors (1520260574680).

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

1144400204240 is a wasteful number, since it uses less digits than its factorization.

1144400204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21130679 (or 21130673 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 1144400204240 its reverse (424020044411), we get a palindrome (1568420248651).

The spelling of 1144400204240 in words is "one trillion, one hundred forty-four billion, four hundred million, two hundred four thousand, two hundred forty".