42844402820200 has 96 divisors (see below), whose sum is σ = 100026298532160. Its totient is φ = 17066730700800.

The previous prime is 42844402820189. The next prime is 42844402820209. The reversal of 42844402820200 is 202820444824.

It is a happy number.

It is a super-3 number, since 3×42844402820200³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42844402820209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205650085 + ... + 205858315.

It is an arithmetic number, because the mean of its divisors is an integer number (1041940609710).

Almost surely, 2^{42844402820200} is an apocalyptic number.

42844402820200 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 42844402820200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50013149266080).

42844402820200 is an abundant number, since it is smaller than the sum of its proper divisors (57181895711960).

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

42844402820200 is a wasteful number, since it uses less digits than its factorization.

42844402820200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212507 (or 212498 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 42844402820200 in words is "forty-two trillion, eight hundred forty-four billion, four hundred two million, eight hundred twenty thousand, two hundred".