41442827572200 has 384 divisors, whose sum is σ = 136975540147200. Its totient is φ = 10329114132480.

The previous prime is 41442827572177. The next prime is 41442827572247. The reversal of 41442827572200 is 227572824414.

It is a self number, because there is not a number n which added to its sum of digits gives 41442827572200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3197989321 + ... + 3198002279.

It is an arithmetic number, because the mean of its divisors is an integer number (356707135800).

Almost surely, 2^{41442827572200} is an apocalyptic number.

41442827572200 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 41442827572200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68487770073600).

41442827572200 is an abundant number, since it is smaller than the sum of its proper divisors (95532712575000).

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

41442827572200 is a wasteful number, since it uses less digits than its factorization.

41442827572200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15149 (or 15140 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 48.

The spelling of 41442827572200 in words is "forty-one trillion, four hundred forty-two billion, eight hundred twenty-seven million, five hundred seventy-two thousand, two hundred".