22404340200320 has 256 divisors, whose sum is σ = 60205101465600. Its totient is φ = 7910487957504.

The previous prime is 22404340200317. The next prime is 22404340200337. The reversal of 22404340200320 is 2300204340422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 22404340200320.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 780543089 + ... + 780571791.

It is an arithmetic number, because the mean of its divisors is an integer number (235176177600).

Almost surely, 2^{22404340200320} is an apocalyptic number.

22404340200320 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 22404340200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30102550732800).

22404340200320 is an abundant number, since it is smaller than the sum of its proper divisors (37800761265280).

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

22404340200320 is a wasteful number, since it uses less digits than its factorization.

22404340200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32837 (or 32825 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 22404340200320 its reverse (2300204340422), we get a palindrome (24704544540742).

The spelling of 22404340200320 in words is "twenty-two trillion, four hundred four billion, three hundred forty million, two hundred thousand, three hundred twenty".