404020020404 has 384 divisors, whose sum is σ = 1020507586560. Its totient is φ = 134911526400.

The previous prime is 404020020379. The next prime is 404020020413.

404020020404 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314901947 + ... + 314903229.

It is an arithmetic number, because the mean of its divisors is an integer number (2657571840).

Almost surely, 2^404020020404 is an apocalyptic number.

404020020404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404020020404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510253793280).

404020020404 is an abundant number, since it is smaller than the sum of its proper divisors (616487566156).

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

404020020404 is a wasteful number, since it uses less digits than its factorization.

404020020404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

It can be divided in two parts, 4040200 and 20404, that added together give a palindrome (4060604).

The spelling of 404020020404 in words is "four hundred four billion, twenty million, twenty thousand, four hundred four".