22240010324400 has 240 divisors, whose sum is σ = 77723478771840. Its totient is φ = 5391188019200.

The previous prime is 22240010324387. The next prime is 22240010324419. The reversal of 22240010324400 is 442301004222.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269146291 + ... + 269228909.

It is an arithmetic number, because the mean of its divisors is an integer number (323847828216).

Almost surely, 2^{22240010324400} is an apocalyptic number.

22240010324400 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 22240010324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38861739385920).

22240010324400 is an abundant number, since it is smaller than the sum of its proper divisors (55483468447440).

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

22240010324400 is a wasteful number, since it uses less digits than its factorization.

22240010324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103044 (or 103033 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22240010324400 its reverse (442301004222), we get a palindrome (22682311328622).

The spelling of 22240010324400 in words is "twenty-two trillion, two hundred forty billion, ten million, three hundred twenty-four thousand, four hundred".