39442790880 has 72 divisors (see below), whose sum is σ = 134598528792. Its totient is φ = 10518077184.

The previous prime is 39442790879. The next prime is 39442790887. The reversal of 39442790880 is 8809724493.

39442790880 is a `hidden beast` number, since 39 + 442 + 7 + 90 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×39442790880³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39442790887) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13693974 + ... + 13696853.

It is an arithmetic number, because the mean of its divisors is an integer number (1869424011).

Almost surely, 2^39442790880 is an apocalyptic number.

39442790880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39442790880 is an abundant number, since it is smaller than the sum of its proper divisors (95155737912).

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

39442790880 is a wasteful number, since it uses less digits than its factorization.

39442790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27390848 (or 27390837 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 39442790880 in words is "thirty-nine billion, four hundred forty-two million, seven hundred ninety thousand, eight hundred eighty".