405317219328 has 528 divisors, whose sum is σ = 1416873529344. Its totient is φ = 113318092800.

The previous prime is 405317219323. The next prime is 405317219357. The reversal of 405317219328 is 823912713504.

It is a happy number.

405317219328 is a `hidden beast` number, since 4 + 0 + 5 + 317 + 2 + 1 + 9 + 328 = 666.

It is a super-3 number, since 3×405317219328³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405317219323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 81863253 + ... + 81868203.

Almost surely, 2^405317219328 is an apocalyptic number.

405317219328 is a gapful number since it is divisible by the number (48) 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 405317219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708436764672).

405317219328 is an abundant number, since it is smaller than the sum of its proper divisors (1011556310016).

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

405317219328 is an equidigital number, since it uses as much as digits as its factorization.

405317219328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 405317219328 in words is "four hundred five billion, three hundred seventeen million, two hundred nineteen thousand, three hundred twenty-eight".