4004041320020 has 36 divisors (see below), whose sum is σ = 9781300941300. Its totient is φ = 1372814166528.

The previous prime is 4004041319987. The next prime is 4004041320029. The reversal of 4004041320020 is 200231404004.

4004041320020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1084959724996 + 2919081595024 = 1041614^2 + 1708532^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4004041319974 and 4004041320001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004041320029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2042877245 + ... + 2042879204.

It is an arithmetic number, because the mean of its divisors is an integer number (271702803925).

Almost surely, 2^{4004041320020} is an apocalyptic number.

It is an amenable number.

4004041320020 is an abundant number, since it is smaller than the sum of its proper divisors (5777259621280).

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

4004041320020 is a wasteful number, since it uses less digits than its factorization.

4004041320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085756472 (or 4085756463 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4004041320020 its reverse (200231404004), we get a palindrome (4204272724024).

The spelling of 4004041320020 in words is "four trillion, four billion, forty-one million, three hundred twenty thousand, twenty".