42282208400 has 120 divisors (see below), whose sum is σ = 103851195360. Its totient is φ = 16538296320.

The previous prime is 42282208399. The next prime is 42282208411. The reversal of 42282208400 is 480228224.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4550159 + ... + 4559441.

It is an arithmetic number, because the mean of its divisors is an integer number (865426628).

Almost surely, 2^42282208400 is an apocalyptic number.

42282208400 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 42282208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51925597680).

42282208400 is an abundant number, since it is smaller than the sum of its proper divisors (61568986960).

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

42282208400 is a wasteful number, since it uses less digits than its factorization.

42282208400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9553 (or 9542 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 42282208400 in words is "forty-two billion, two hundred eighty-two million, two hundred eight thousand, four hundred".