39042544524093 has 128 divisors (see below), whose sum is σ = 63905587200000. Its totient is φ = 23361228895680.

The previous prime is 39042544524001. The next prime is 39042544524097.

It is a happy number.

39042544524093 is a `hidden beast` number, since 3 + 9 + 0 + 4 + 2 + 544 + 5 + 2 + 4 + 0 + 93 = 666.

39042544524093 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 39042544524093 - 2³² = 39038249556797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39042544524097) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25635287830 + ... + 25635289352.

It is an arithmetic number, because the mean of its divisors is an integer number (499262400000).

Almost surely, 2^{39042544524093} is an apocalyptic number.

39042544524093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

39042544524093 is a deficient number, since it is larger than the sum of its proper divisors (24863042675907).

39042544524093 is a wasteful number, since it uses less digits than its factorization.

39042544524093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 39042544524093 in words is "thirty-nine trillion, forty-two billion, five hundred forty-four million, five hundred twenty-four thousand, ninety-three".