22021101414400 has 288 divisors, whose sum is σ = 62697444919200. Its totient is φ = 7586213068800.

The previous prime is 22021101414313. The next prime is 22021101414479. The reversal of 22021101414400 is 441410112022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9671854 + ... + 11729746.

It is an arithmetic number, because the mean of its divisors is an integer number (217699461525).

Almost surely, 2^{22021101414400} is an apocalyptic number.

22021101414400 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 22021101414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31348722459600).

22021101414400 is an abundant number, since it is smaller than the sum of its proper divisors (40676343504800).

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

22021101414400 is a wasteful number, since it uses less digits than its factorization.

22021101414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057955 (or 2057930 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 22021101414400 its reverse (441410112022), we get a palindrome (22462511526422).

The spelling of 22021101414400 in words is "twenty-two trillion, twenty-one billion, one hundred one million, four hundred fourteen thousand, four hundred".