42038577758352 has 80 divisors (see below), whose sum is σ = 126148550337152. Its totient is φ = 11814120207360.

The previous prime is 42038577758351. The next prime is 42038577758363. The reversal of 42038577758352 is 25385777583024.

It is a happy number.

42038577758352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42038577758351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025510773 + ... + 1025551764.

Almost surely, 2^{42038577758352} is an apocalyptic number.

42038577758352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42038577758352 is an abundant number, since it is smaller than the sum of its proper divisors (84109972578800).

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

42038577758352 is a wasteful number, since it uses less digits than its factorization.

42038577758352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051062616 (or 2051062610 counting only the distinct ones).

The product of its (nonzero) digits is 395136000, while the sum is 66.

The spelling of 42038577758352 in words is "forty-two trillion, thirty-eight billion, five hundred seventy-seven million, seven hundred fifty-eight thousand, three hundred fifty-two".