404226240000000 has 1664 divisors, whose sum is σ = 1488198502702080. Its totient is φ = 96768000000000.

The previous prime is 404226239999963. The next prime is 404226240000019. The reversal of 404226240000000 is 42622404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1066559999811 + ... + 1066560000189.

It is an arithmetic number, because the mean of its divisors is an integer number (894350061720).

Almost surely, 2^{404226240000000} is an apocalyptic number.

404226240000000 is a gapful number since it is divisible by the number (40) 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 404226240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744099251351040).

404226240000000 is an abundant number, since it is smaller than the sum of its proper divisors (1083972262702080).

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

404226240000000 is an frugal number, since it uses more digits than its factorization.

404226240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 404226240000000 its reverse (42622404), we get a palindrome (404226282622404).

The spelling of 404226240000000 in words is "four hundred four trillion, two hundred twenty-six billion, two hundred forty million", and thus it is an aban number.