42132332779680 has 768 divisors, whose sum is σ = 157807923646464. Its totient is φ = 9314438676480.

The previous prime is 42132332779679. The next prime is 42132332779699. The reversal of 42132332779680 is 8697723323124.

42132332779680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42132332779680.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3061268479 + ... + 3061282241.

It is an arithmetic number, because the mean of its divisors is an integer number (205479067248).

Almost surely, 2^{42132332779680} is an apocalyptic number.

42132332779680 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 42132332779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78903961823232).

42132332779680 is an abundant number, since it is smaller than the sum of its proper divisors (115675590866784).

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

42132332779680 is a wasteful number, since it uses less digits than its factorization.

42132332779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14341 (or 14333 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 42132332779680 in words is "forty-two trillion, one hundred thirty-two billion, three hundred thirty-two million, seven hundred seventy-nine thousand, six hundred eighty".