1144102042240 has 128 divisors (see below), whose sum is σ = 2978351856000. Its totient is φ = 418604175360.

The previous prime is 1144102042231. The next prime is 1144102042247. The reversal of 1144102042240 is 422402014411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1144102042247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1269556 + ... + 1974835.

It is an arithmetic number, because the mean of its divisors is an integer number (23268373875).

Almost surely, 2^{1144102042240} is an apocalyptic number.

1144102042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144102042240 is an abundant number, since it is smaller than the sum of its proper divisors (1834249813760).

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

1144102042240 is a wasteful number, since it uses less digits than its factorization.

1144102042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244458 (or 3244446 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1144102042240 its reverse (422402014411), we get a palindrome (1566504056651).

The spelling of 1144102042240 in words is "one trillion, one hundred forty-four billion, one hundred two million, forty-two thousand, two hundred forty".