39642844896 has 144 divisors (see below), whose sum is σ = 120505825440. Its totient is φ = 12331376640.

The previous prime is 39642844849. The next prime is 39642844909. The reversal of 39642844896 is 69844824693.

39642844896 is a `hidden beast` number, since 3 + 96 + 428 + 44 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198600 + ... + 344568.

It is an arithmetic number, because the mean of its divisors is an integer number (836846010).

Almost surely, 2^39642844896 is an apocalyptic number.

39642844896 is a gapful number since it is divisible by the number (36) 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 39642844896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60252912720).

39642844896 is an abundant number, since it is smaller than the sum of its proper divisors (80862980544).

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

39642844896 is a wasteful number, since it uses less digits than its factorization.

39642844896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146049 (or 146038 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 39642844896 in words is "thirty-nine billion, six hundred forty-two million, eight hundred forty-four thousand, eight hundred ninety-six".