42440576200 has 192 divisors, whose sum is σ = 112440571200. Its totient is φ = 14759654400.

The previous prime is 42440576197. The next prime is 42440576251. The reversal of 42440576200 is 267504424.

42440576200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4798182 + ... + 4807018.

It is an arithmetic number, because the mean of its divisors is an integer number (585627975).

Almost surely, 2^42440576200 is an apocalyptic number.

42440576200 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 42440576200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56220285600).

42440576200 is an abundant number, since it is smaller than the sum of its proper divisors (69999995000).

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

42440576200 is a wasteful number, since it uses less digits than its factorization.

42440576200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8960 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The spelling of 42440576200 in words is "forty-two billion, four hundred forty million, five hundred seventy-six thousand, two hundred".