42116770080 has 648 divisors, whose sum is σ = 183806469756. Its totient is φ = 8749762560.

The previous prime is 42116770079. The next prime is 42116770133. The reversal of 42116770080 is 8007761124.

42116770080 is a `hidden beast` number, since 421 + 167 + 70 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40947950736 + 1168819344 = 202356^2 + 34188^2 .

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

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 107 ways as a sum of consecutive naturals, for example, 8535294 + ... + 8540226.

Almost surely, 2^42116770080 is an apocalyptic number.

42116770080 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 42116770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91903234878).

42116770080 is an abundant number, since it is smaller than the sum of its proper divisors (141689699676).

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

42116770080 is a wasteful number, since it uses less digits than its factorization.

42116770080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 42116770080 in words is "forty-two billion, one hundred sixteen million, seven hundred seventy thousand, eighty".