400302224322 has 512 divisors, whose sum is σ = 1181537280000. Its totient is φ = 86951854080.

The previous prime is 400302224293. The next prime is 400302224381. The reversal of 400302224322 is 223422203004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 400302224292 and 400302224301.

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 255 ways as a sum of consecutive naturals, for example, 320497554 + ... + 320498802.

It is an arithmetic number, because the mean of its divisors is an integer number (2307690000).

Almost surely, 2^400302224322 is an apocalyptic number.

400302224322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 400302224322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590768640000).

400302224322 is an abundant number, since it is smaller than the sum of its proper divisors (781235055678).

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

400302224322 is a wasteful number, since it uses less digits than its factorization.

400302224322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 400302224322 its reverse (223422203004), we get a palindrome (623724427326).

The spelling of 400302224322 in words is "four hundred billion, three hundred two million, two hundred twenty-four thousand, three hundred twenty-two".