2004124714000 has 40 divisors (see below), whose sum is σ = 4845973563288. Its totient is φ = 801649884800.

The previous prime is 2004124713989. The next prime is 2004124714001. The reversal of 2004124714000 is 4174214002.

It can be written as a sum of positive squares in 4 ways, for example, as 110754576 + 2004013959424 = 10524^2 + 1415632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2004124714001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501029179 + ... + 501033178.

Almost surely, 2^{2004124714000} is an apocalyptic number.

2004124714000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004124714000 is an abundant number, since it is smaller than the sum of its proper divisors (2841848849288).

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

2004124714000 is a wasteful number, since it uses less digits than its factorization.

2004124714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002062380 (or 1002062364 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

Adding to 2004124714000 its reverse (4174214002), we get a palindrome (2008298928002).

The spelling of 2004124714000 in words is "two trillion, four billion, one hundred twenty-four million, seven hundred fourteen thousand".