423120021324 has 384 divisors, whose sum is σ = 1389260544000. Its totient is φ = 98700456960.

The previous prime is 423120021319. The next prime is 423120021347.

It is a happy number.

423120021324 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 423120021294 and 423120021303.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 21768042 + ... + 21787470.

It is an arithmetic number, because the mean of its divisors is an integer number (3617866000).

Almost surely, 2^423120021324 is an apocalyptic number.

423120021324 is a gapful number since it is divisible by the number (44) 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 423120021324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694630272000).

423120021324 is an abundant number, since it is smaller than the sum of its proper divisors (966140522676).

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

423120021324 is a wasteful number, since it uses less digits than its factorization.

423120021324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19518 (or 19502 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 4231200 and 21324, that added together give a palindrome (4252524).

The spelling of 423120021324 in words is "four hundred twenty-three billion, one hundred twenty million, twenty-one thousand, three hundred twenty-four".