42220403200 has 120 divisors (see below), whose sum is σ = 104723302860. Its totient is φ = 16868966400.

The previous prime is 42220403189. The next prime is 42220403207. The reversal of 42220403200 is 230402224.

It can be written as a sum of positive squares in 6 ways, for example, as 5949962496 + 36270440704 = 77136^2 + 190448^2 .

It is not an unprimeable number, because it can be changed into a prime (42220403207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18034030 + ... + 18036370.

Almost surely, 2^42220403200 is an apocalyptic number.

42220403200 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 42220403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52361651430).

42220403200 is an abundant number, since it is smaller than the sum of its proper divisors (62502899660).

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

42220403200 is a wasteful number, since it uses less digits than its factorization.

42220403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 42220403200 its reverse (230402224), we get a palindrome (42450805424).

The spelling of 42220403200 in words is "forty-two billion, two hundred twenty million, four hundred three thousand, two hundred".