404410232122320 has 160 divisors (see below), whose sum is σ = 1260538903096704. Its totient is φ = 107253470822400.

The previous prime is 404410232122249. The next prime is 404410232122327. The reversal of 404410232122320 is 23221232014404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404410232122327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29538240 + ... + 41004000.

Almost surely, 2^{404410232122320} is an apocalyptic number.

404410232122320 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 404410232122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630269451548352).

404410232122320 is an abundant number, since it is smaller than the sum of its proper divisors (856128670974384).

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

404410232122320 is a wasteful number, since it uses less digits than its factorization.

404410232122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11466581 (or 11466575 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 404410232122320 its reverse (23221232014404), we get a palindrome (427631464136724).

The spelling of 404410232122320 in words is "four hundred four trillion, four hundred ten billion, two hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty".