42114010432 has 168 divisors, whose sum is σ = 92407517496. Its totient is φ = 19031261184.

The previous prime is 42114010417. The next prime is 42114010439. The reversal of 42114010432 is 23401041124.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9303759936 + 32810250496 = 96456^2 + 181136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114010439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143733678 + ... + 143733970.

It is an arithmetic number, because the mean of its divisors is an integer number (550044747).

Almost surely, 2^42114010432 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 42114010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46203758748).

42114010432 is an abundant number, since it is smaller than the sum of its proper divisors (50293507064).

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

42114010432 is a wasteful number, since it uses less digits than its factorization.

42114010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42114010432 its reverse (23401041124), we get a palindrome (65515051556).

The spelling of 42114010432 in words is "forty-two billion, one hundred fourteen million, ten thousand, four hundred thirty-two".