22240313040400 has 960 divisors, whose sum is σ = 71496923904000. Its totient is φ = 6587061626880.

The previous prime is 22240313040389. The next prime is 22240313040481. The reversal of 22240313040400 is 404031304222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2812733247 + ... + 2812741153.

It is an arithmetic number, because the mean of its divisors is an integer number (74475962400).

Almost surely, 2^{22240313040400} is an apocalyptic number.

22240313040400 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 22240313040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35748461952000).

22240313040400 is an abundant number, since it is smaller than the sum of its proper divisors (49256610863600).

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

22240313040400 is a wasteful number, since it uses less digits than its factorization.

22240313040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8061 (or 8036 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 22240313040400 its reverse (404031304222), we get a palindrome (22644344344622).

The spelling of 22240313040400 in words is "twenty-two trillion, two hundred forty billion, three hundred thirteen million, forty thousand, four hundred".