39138271349760 has 264 divisors, whose sum is σ = 147941555735376. Its totient is φ = 9488065658880.

The previous prime is 39138271349741. The next prime is 39138271349869. The reversal of 39138271349760 is 6794317283193.

It is a happy number.

39138271349760 is a `hidden beast` number, since 3 + 9 + 1 + 3 + 82 + 7 + 1 + 3 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38100159 + ... + 39113918.

Almost surely, 2^{39138271349760} is an apocalyptic number.

39138271349760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39138271349760 is an abundant number, since it is smaller than the sum of its proper divisors (108803284385616).

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

39138271349760 is a wasteful number, since it uses less digits than its factorization.

39138271349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77214119 (or 77214098 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 39138271349760 in words is "thirty-nine trillion, one hundred thirty-eight billion, two hundred seventy-one million, three hundred forty-nine thousand, seven hundred sixty".