321224420340 has 72 divisors (see below), whose sum is σ = 975492259560. Its totient is φ = 85562129664.

The previous prime is 321224420339. The next prime is 321224420353. The reversal of 321224420340 is 43024422123.

321224420340 is a `hidden beast` number, since 3 + 212 + 2 + 442 + 0 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52970863716 + 268253556624 = 230154^2 + 517932^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 859575 + ... + 1175294.

It is an arithmetic number, because the mean of its divisors is an integer number (13548503605).

Almost surely, 2^321224420340 is an apocalyptic number.

321224420340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321224420340 is an abundant number, since it is smaller than the sum of its proper divisors (654267839220).

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

321224420340 is a wasteful number, since it uses less digits than its factorization.

321224420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035761 (or 2035756 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 321224420340 its reverse (43024422123), we get a palindrome (364248842463).

The spelling of 321224420340 in words is "three hundred twenty-one billion, two hundred twenty-four million, four hundred twenty thousand, three hundred forty".