42432324323220 has 288 divisors, whose sum is σ = 139696188401952. Its totient is φ = 10363281260544.

The previous prime is 42432324323183. The next prime is 42432324323243. The reversal of 42432324323220 is 2232342323424.

42432324323220 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 2 + 324 + 3 + 2 + 322 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 13327960959504 + 29104363363716 = 3650748^2 + 5394846^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 638882734 + ... + 638949146.

It is an arithmetic number, because the mean of its divisors is an integer number (485056209729).

Almost surely, 2^{42432324323220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42432324323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69848094200976).

42432324323220 is an abundant number, since it is smaller than the sum of its proper divisors (97263864078732).

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

42432324323220 is a wasteful number, since it uses less digits than its factorization.

42432324323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68571 (or 68566 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 42432324323220 its reverse (2232342323424), we get a palindrome (44664666646644).

The spelling of 42432324323220 in words is "forty-two trillion, four hundred thirty-two billion, three hundred twenty-four million, three hundred twenty-three thousand, two hundred twenty".