404226282622404 has 288 divisors, whose sum is σ = 1069559297243136. Its totient is φ = 118668132000000.

The previous prime is 404226282622397. The next prime is 404226282622423.

404226282622404 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44464441899 + ... + 44464450989.

It is an arithmetic number, because the mean of its divisors is an integer number (3713747559872).

Almost surely, 2^{404226282622404} is an apocalyptic number.

404226282622404 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 404226282622404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534779648621568).

404226282622404 is an abundant number, since it is smaller than the sum of its proper divisors (665333014620732).

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

404226282622404 is a wasteful number, since it uses less digits than its factorization.

404226282622404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15719 (or 15706 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 48.

It can be divided in two parts, 40422 and 6282622404, that added together give a palindrome (6282662826).

The spelling of 404226282622404 in words is "four hundred four trillion, two hundred twenty-six billion, two hundred eighty-two million, six hundred twenty-two thousand, four hundred four".