2004144561140 has 24 divisors (see below), whose sum is σ = 4322452325352. Its totient is φ = 779991396480.

The previous prime is 2004144561073. The next prime is 2004144561151. The reversal of 2004144561140 is 411654414002.

It can be written as a sum of positive squares in 4 ways, for example, as 361410178276 + 1642734382864 = 601174^2 + 1281692^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2004144561097 and 2004144561106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1354150991 + ... + 1354152470.

It is an arithmetic number, because the mean of its divisors is an integer number (180102180223).

Almost surely, 2^{2004144561140} is an apocalyptic number.

2004144561140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004144561140 is an abundant number, since it is smaller than the sum of its proper divisors (2318307764212).

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

2004144561140 is a wasteful number, since it uses less digits than its factorization.

2004144561140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708303507 (or 2708303505 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 2004144561140 its reverse (411654414002), we get a palindrome (2415798975142).

The spelling of 2004144561140 in words is "two trillion, four billion, one hundred forty-four million, five hundred sixty-one thousand, one hundred forty".