2004144233040 has 120 divisors (see below), whose sum is σ = 6737518333728. Its totient is φ = 533887875840.

The previous prime is 2004144233027. The next prime is 2004144233053. The reversal of 2004144233040 is 403324414002.

It is a happy number.

2004144233040 is a `hidden beast` number, since 200 + 4 + 1 + 4 + 423 + 30 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2004144233027) and next prime (2004144233053).

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 2004144232995 and 2004144233013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734214 + ... + 2132453.

Almost surely, 2^{2004144233040} is an apocalyptic number.

2004144233040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004144233040 is an abundant number, since it is smaller than the sum of its proper divisors (4733374100688).

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

2004144233040 is a wasteful number, since it uses less digits than its factorization.

2004144233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867657 (or 2867648 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2004144233040 its reverse (403324414002), we get a palindrome (2407468647042).

The spelling of 2004144233040 in words is "two trillion, four billion, one hundred forty-four million, two hundred thirty-three thousand, forty".