22241627012400 has 240 divisors, whose sum is σ = 73976152604160. Its totient is φ = 5705446118400.

The previous prime is 22241627012347. The next prime is 22241627012401. The reversal of 22241627012400 is 421072614222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (22241627012401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8251599 + ... + 10610001.

It is an arithmetic number, because the mean of its divisors is an integer number (308233969184).

Almost surely, 2^{22241627012400} is an apocalyptic number.

22241627012400 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 22241627012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36988076302080).

22241627012400 is an abundant number, since it is smaller than the sum of its proper divisors (51734525591760).

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

22241627012400 is a wasteful number, since it uses less digits than its factorization.

22241627012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358724 (or 2358713 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 22241627012400 its reverse (421072614222), we get a palindrome (22662699626622).

The spelling of 22241627012400 in words is "twenty-two trillion, two hundred forty-one billion, six hundred twenty-seven million, twelve thousand, four hundred".