42641108160 has 896 divisors, whose sum is σ = 173071779840. Its totient is φ = 8670412800.

The previous prime is 42641108149. The next prime is 42641108203. The reversal of 42641108160 is 6180114624.

It is a super-2 number, since 2×42641108160² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202090455 + ... + 202090665.

Almost surely, 2^42641108160 is an apocalyptic number.

42641108160 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 42641108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86535889920).

42641108160 is an abundant number, since it is smaller than the sum of its proper divisors (130430671680).

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

42641108160 is a wasteful number, since it uses less digits than its factorization.

42641108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 42641108160 in words is "forty-two billion, six hundred forty-one million, one hundred eight thousand, one hundred sixty".