321404222400420 has 48 divisors (see below), whose sum is σ = 921881379379968. Its totient is φ = 83617358672640.

The previous prime is 321404222400413. The next prime is 321404222400421. The reversal of 321404222400420 is 24004222404123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (321404222400421) 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 15 ways as a sum of consecutive naturals, for example, 65326059004 + ... + 65326063923.

It is an arithmetic number, because the mean of its divisors is an integer number (19205862070416).

Almost surely, 2^{321404222400420} is an apocalyptic number.

321404222400420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321404222400420 is an abundant number, since it is smaller than the sum of its proper divisors (600477156979548).

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

321404222400420 is a wasteful number, since it uses less digits than its factorization.

321404222400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130652122980 (or 130652122978 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 321404222400420 its reverse (24004222404123), we get a palindrome (345408444804543).

The spelling of 321404222400420 in words is "three hundred twenty-one trillion, four hundred four billion, two hundred twenty-two million, four hundred thousand, four hundred twenty".