1002144404240 has 160 divisors (see below), whose sum is σ = 2689338347520. Its totient is φ = 340178227200.

The previous prime is 1002144404221. The next prime is 1002144404273. The reversal of 1002144404240 is 424044412001.

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 31 ways as a sum of consecutive naturals, for example, 89784260 + ... + 89795420.

It is an arithmetic number, because the mean of its divisors is an integer number (16808364672).

Almost surely, 2^{1002144404240} is an apocalyptic number.

1002144404240 is a gapful number since it is divisible by the number (10) 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 1002144404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344669173760).

1002144404240 is an abundant number, since it is smaller than the sum of its proper divisors (1687193943280).

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

1002144404240 is a wasteful number, since it uses less digits than its factorization.

1002144404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12761 (or 12755 counting only the distinct ones).

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

Adding to 1002144404240 its reverse (424044412001), we get a palindrome (1426188816241).

The spelling of 1002144404240 in words is "one trillion, two billion, one hundred forty-four million, four hundred four thousand, two hundred forty".