404421122010000 has 400 divisors, whose sum is σ = 1329090757765056. Its totient is φ = 105911645184000.

The previous prime is 404421122009977. The next prime is 404421122010023. The reversal of 404421122010000 is 10221124404.

It is an interprime number because it is at equal distance from previous prime (404421122009977) and next prime (404421122010023).

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 509873719 + ... + 510666281.

Almost surely, 2^{404421122010000} is an apocalyptic number.

404421122010000 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 404421122010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664545378882528).

404421122010000 is an abundant number, since it is smaller than the sum of its proper divisors (924669635755056).

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

404421122010000 is a wasteful number, since it uses less digits than its factorization.

404421122010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792900 (or 792879 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 404421122010000 its reverse (10221124404), we get a palindrome (404431343134404).

The spelling of 404421122010000 in words is "four hundred four trillion, four hundred twenty-one billion, one hundred twenty-two million, ten thousand".