42099163200 has 504 divisors, whose sum is σ = 158210707200. Its totient is φ = 10595819520.

The previous prime is 42099163193. The next prime is 42099163217. The reversal of 42099163200 is 236199024.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26163996 + ... + 26165604.

Almost surely, 2^42099163200 is an apocalyptic number.

42099163200 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 42099163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79105353600).

42099163200 is an abundant number, since it is smaller than the sum of its proper divisors (116111544000).

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

42099163200 is a wasteful number, since it uses less digits than its factorization.

42099163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 42099163200 in words is "forty-two billion, ninety-nine million, one hundred sixty-three thousand, two hundred".