405223320000 has 560 divisors, whose sum is σ = 1398482742272. Its totient is φ = 103403520000.

The previous prime is 405223319989. The next prime is 405223320001. The reversal of 405223320000 is 23322504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405223320001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 360839439 + ... + 360840561.

Almost surely, 2^405223320000 is an apocalyptic number.

405223320000 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 405223320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699241371136).

405223320000 is an abundant number, since it is smaller than the sum of its proper divisors (993259422272).

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

405223320000 is a wasteful number, since it uses less digits than its factorization.

405223320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 405223320000 its reverse (23322504), we get a palindrome (405246642504).

The spelling of 405223320000 in words is "four hundred five billion, two hundred twenty-three million, three hundred twenty thousand".