42131041542432 has 192 divisors, whose sum is σ = 123116627128320. Its totient is φ = 14016904070400.

The previous prime is 42131041542407. The next prime is 42131041542433. The reversal of 42131041542432 is 23424514013124.

42131041542432 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 104 + 1 + 542 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×42131041542432² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42131041542433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1979552463 + ... + 1979573745.

It is an arithmetic number, because the mean of its divisors is an integer number (641232432960).

Almost surely, 2^{42131041542432} 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 42131041542432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61558313564160).

42131041542432 is an abundant number, since it is smaller than the sum of its proper divisors (80985585585888).

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

42131041542432 is a wasteful number, since it uses less digits than its factorization.

42131041542432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25564 (or 25550 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 42131041542432 its reverse (23424514013124), we get a palindrome (65555555555556).

The spelling of 42131041542432 in words is "forty-two trillion, one hundred thirty-one billion, forty-one million, five hundred forty-two thousand, four hundred thirty-two".