405715222000 has 320 divisors, whose sum is σ = 1092730953600. Its totient is φ = 144460800000.

The previous prime is 405715221973. The next prime is 405715222007. The reversal of 405715222000 is 222517504.

It is a self number, because there is not a number n which added to its sum of digits gives 405715222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405715222007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 213421050 + ... + 213422950.

It is an arithmetic number, because the mean of its divisors is an integer number (3414784230).

Almost surely, 2^405715222000 is an apocalyptic number.

405715222000 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 405715222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546365476800).

405715222000 is an abundant number, since it is smaller than the sum of its proper divisors (687015731600).

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

405715222000 is a wasteful number, since it uses less digits than its factorization.

405715222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

Adding to 405715222000 its reverse (222517504), we get a palindrome (405937739504).

The spelling of 405715222000 in words is "four hundred five billion, seven hundred fifteen million, two hundred twenty-two thousand".