42005228160 has 512 divisors, whose sum is σ = 161873510400. Its totient is φ = 9061171200.

The previous prime is 42005228159. The next prime is 42005228189. The reversal of 42005228160 is 6182250024.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 17081011 + ... + 17083469.

It is an arithmetic number, because the mean of its divisors is an integer number (316159200).

Almost surely, 2^42005228160 is an apocalyptic number.

42005228160 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 42005228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80936755200).

42005228160 is an abundant number, since it is smaller than the sum of its proper divisors (119868282240).

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

42005228160 is a wasteful number, since it uses less digits than its factorization.

42005228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 42005228160 its reverse (6182250024), we get a palindrome (48187478184).

The spelling of 42005228160 in words is "forty-two billion, five million, two hundred twenty-eight thousand, one hundred sixty".