4002404002020 has 48 divisors (see below), whose sum is σ = 12451923563520. Its totient is φ = 1067307733728.

The previous prime is 4002404001983. The next prime is 4002404002031. The reversal of 4002404002020 is 202004042004.

4002404002020 is a `hidden beast` number, since 4 + 0 + 0 + 240 + 400 + 2 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4002404001984 and 4002404002002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3705929092 + ... + 3705930171.

It is an arithmetic number, because the mean of its divisors is an integer number (259415074240).

Almost surely, 2^{4002404002020} is an apocalyptic number.

It is an amenable number.

4002404002020 is an abundant number, since it is smaller than the sum of its proper divisors (8449519561500).

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

4002404002020 is a wasteful number, since it uses less digits than its factorization.

4002404002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7411859281 (or 7411859273 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 4002404002020 its reverse (202004042004), we get a palindrome (4204408044024).

The spelling of 4002404002020 in words is "four trillion, two billion, four hundred four million, two thousand, twenty".