42432313434120 has 384 divisors, whose sum is σ = 142022984463360. Its totient is φ = 10980992655360.

The previous prime is 42432313434061. The next prime is 42432313434187. The reversal of 42432313434120 is 2143431323424.

42432313434120 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 231 + 3 + 4 + 3 + 412 + 0 = 666.

It is a super-3 number, since 3×42432313434120³ (a number of 42 digits) contains 333 as substring.

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

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, 1798501044 + ... + 1798524636.

It is an arithmetic number, because the mean of its divisors is an integer number (369851522040).

Almost surely, 2^{42432313434120} is an apocalyptic number.

42432313434120 is a gapful number since it is divisible by the number (40) 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 42432313434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71011492231680).

42432313434120 is an abundant number, since it is smaller than the sum of its proper divisors (99590671029240).

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

42432313434120 is a wasteful number, since it uses less digits than its factorization.

42432313434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24397 (or 24390 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 42432313434120 its reverse (2143431323424), we get a palindrome (44575744757544).

The spelling of 42432313434120 in words is "forty-two trillion, four hundred thirty-two billion, three hundred thirteen million, four hundred thirty-four thousand, one hundred twenty".