42205510200000 has 672 divisors, whose sum is σ = 160346160188928. Its totient is φ = 9596805120000.

The previous prime is 42205510199971. The next prime is 42205510200001. The reversal of 42205510200000 is 201550224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 42205510200000.

It is not an unprimeable number, because it can be changed into a prime (42205510200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 810573967 + ... + 810626033.

It is an arithmetic number, because the mean of its divisors is an integer number (238610357424).

Almost surely, 2^{42205510200000} is an apocalyptic number.

42205510200000 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 42205510200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80173080094464).

42205510200000 is an abundant number, since it is smaller than the sum of its proper divisors (118140649988928).

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

42205510200000 is an equidigital number, since it uses as much as digits as its factorization.

42205510200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52307 (or 52277 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 42205510200000 its reverse (201550224), we get a palindrome (42205711750224).

The spelling of 42205510200000 in words is "forty-two trillion, two hundred five billion, five hundred ten million, two hundred thousand".