42617058120 has 576 divisors, whose sum is σ = 179964832320. Its totient is φ = 8990424576.

The previous prime is 42617058067. The next prime is 42617058131. The reversal of 42617058120 is 2185071624.

42617058120 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 70 + 581 + 2 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 6188199 + ... + 6195081.

It is an arithmetic number, because the mean of its divisors is an integer number (312438945).

Almost surely, 2^42617058120 is an apocalyptic number.

42617058120 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 42617058120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89982416160).

42617058120 is an abundant number, since it is smaller than the sum of its proper divisors (137347774200).

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

42617058120 is a wasteful number, since it uses less digits than its factorization.

42617058120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 42617058120 in words is "forty-two billion, six hundred seventeen million, fifty-eight thousand, one hundred twenty".