2004013959424 has 81 divisors (see below), whose sum is σ = 4044121622163. Its totient is φ = 991123600896.

The previous prime is 2004013959419. The next prime is 2004013959463. The reversal of 2004013959424 is 4249593104002.

The square root of 2004013959424 is 1415632.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×2004013959424³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2332961107 + ... + 2332961965.

Almost surely, 2^{2004013959424} is an apocalyptic number.

2004013959424 is the 1415632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004013959424

2004013959424 is an abundant number, since it is smaller than the sum of its proper divisors (2040107662739).

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

2004013959424 is an frugal number, since it uses more digits than its factorization.

2004013959424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 2004013959424 in words is "two trillion, four billion, thirteen million, nine hundred fifty-nine thousand, four hundred twenty-four".