42982915680 has 480 divisors, whose sum is σ = 160759922400. Its totient is φ = 10785374208.

The previous prime is 42982915631. The next prime is 42982915691. The reversal of 42982915680 is 8651928924.

It is a happy number.

42982915680 is a `hidden beast` number, since 4 + 298 + 291 + 5 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 42599016 + ... + 42600024.

It is an arithmetic number, because the mean of its divisors is an integer number (334916505).

Almost surely, 2^42982915680 is an apocalyptic number.

42982915680 is a gapful number since it is divisible by the number (40) 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 42982915680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80379961200).

42982915680 is an abundant number, since it is smaller than the sum of its proper divisors (117777006720).

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

42982915680 is a wasteful number, since it uses less digits than its factorization.

42982915680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 42982915680 in words is "forty-two billion, nine hundred eighty-two million, nine hundred fifteen thousand, six hundred eighty".