39042006912 has 256 divisors, whose sum is σ = 118773043200. Its totient is φ = 12616280064.

The previous prime is 39042006869. The next prime is 39042006917. The reversal of 39042006912 is 21960024093.

39042006912 is a `hidden beast` number, since 390 + 4 + 200 + 69 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39042006917) 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, 64319313 + ... + 64319919.

It is an arithmetic number, because the mean of its divisors is an integer number (463957200).

Almost surely, 2^39042006912 is an apocalyptic number.

39042006912 is a gapful number since it is divisible by the number (32) 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 39042006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59386521600).

39042006912 is an abundant number, since it is smaller than the sum of its proper divisors (79731036288).

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

39042006912 is a wasteful number, since it uses less digits than its factorization.

39042006912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 39042006912 in words is "thirty-nine billion, forty-two million, six thousand, nine hundred twelve".