22141042400 has 72 divisors (see below), whose sum is σ = 54414876600. Its totient is φ = 8796930560.

The previous prime is 22141042349. The next prime is 22141042439. The reversal of 22141042400 is 424014122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26327 + ... + 212073.

It is an arithmetic number, because the mean of its divisors is an integer number (755762175).

Almost surely, 2^22141042400 is an apocalyptic number.

22141042400 is a gapful number since it is divisible by the number (20) 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 22141042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27207438300).

22141042400 is an abundant number, since it is smaller than the sum of its proper divisors (32273834200).

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

22141042400 is a wasteful number, since it uses less digits than its factorization.

22141042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185916 (or 185903 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22141042400 its reverse (424014122), we get a palindrome (22565056522).

The spelling of 22141042400 in words is "twenty-two billion, one hundred forty-one million, forty-two thousand, four hundred".