42417245160 has 128 divisors (see below), whose sum is σ = 142238073600. Its totient is φ = 11243485440.

The previous prime is 42417245159. The next prime is 42417245231. The reversal of 42417245160 is 6154271424.

42417245160 is a `hidden beast` number, since 42 + 41 + 72 + 451 + 60 = 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 31 ways as a sum of consecutive naturals, for example, 62770 + ... + 297950.

It is an arithmetic number, because the mean of its divisors is an integer number (1111234950).

Almost surely, 2^42417245160 is an apocalyptic number.

42417245160 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 42417245160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71119036800).

42417245160 is an abundant number, since it is smaller than the sum of its proper divisors (99820828440).

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

42417245160 is a wasteful number, since it uses less digits than its factorization.

42417245160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235368 (or 235358 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42417245160 in words is "forty-two billion, four hundred seventeen million, two hundred forty-five thousand, one hundred sixty".