42790481660160 has 1728 divisors, whose sum is σ = 176707490319360. Its totient is φ = 9820781936640.

The previous prime is 42790481660123. The next prime is 42790481660233. The reversal of 42790481660160 is 6106618409724.

42790481660160 is a `hidden beast` number, since 4 + 2 + 7 + 90 + 481 + 6 + 60 + 16 + 0 = 666.

42790481660160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 42790481660097 and 42790481660106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7492639705 + ... + 7492645415.

It is an arithmetic number, because the mean of its divisors is an integer number (102261279120).

Almost surely, 2^{42790481660160} is an apocalyptic number.

42790481660160 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 42790481660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88353745159680).

42790481660160 is an abundant number, since it is smaller than the sum of its proper divisors (133917008659200).

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

42790481660160 is a wasteful number, since it uses less digits than its factorization.

42790481660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5860 counting only the distinct ones).

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

The spelling of 42790481660160 in words is "forty-two trillion, seven hundred ninety billion, four hundred eighty-one million, six hundred sixty thousand, one hundred sixty".