42135155386368 has 384 divisors, whose sum is σ = 123016494182400. Its totient is φ = 12719223603200.

The previous prime is 42135155386361. The next prime is 42135155386451. The reversal of 42135155386368 is 86368355153124.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (42135155386361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35318654380 + ... + 35318655572.

It is an arithmetic number, because the mean of its divisors is an integer number (320355453600).

Almost surely, 2^{42135155386368} is an apocalyptic number.

42135155386368 is a gapful number since it is divisible by the number (48) 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 42135155386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61508247091200).

42135155386368 is an abundant number, since it is smaller than the sum of its proper divisors (80881338796032).

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

42135155386368 is a wasteful number, since it uses less digits than its factorization.

42135155386368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2779 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 60.

The spelling of 42135155386368 in words is "forty-two trillion, one hundred thirty-five billion, one hundred fifty-five million, three hundred eighty-six thousand, three hundred sixty-eight".