42221412400 has 90 divisors (see below), whose sum is σ = 106821050540. Its totient is φ = 15992904960.

The previous prime is 42221412383. The next prime is 42221412403. The reversal of 42221412400 is 421412224.

It is not an unprimeable number, because it can be changed into a prime (42221412403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17912022 + ... + 17914378.

Almost surely, 2^42221412400 is an apocalyptic number.

42221412400 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 42221412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53410525270).

42221412400 is an abundant number, since it is smaller than the sum of its proper divisors (64599638140).

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

42221412400 is an equidigital number, since it uses as much as digits as its factorization.

42221412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 42221412400 its reverse (421412224), we get a palindrome (42642824624).

The spelling of 42221412400 in words is "forty-two billion, two hundred twenty-one million, four hundred twelve thousand, four hundred".