22404100223440 has 320 divisors, whose sum is σ = 57149942169600. Its totient is φ = 8118339840000.

The previous prime is 22404100223437. The next prime is 22404100223447. The reversal of 22404100223440 is 4432200140422.

It is a junction number, because it is equal to n+sod(n) for n = 22404100223399 and 22404100223408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22404100223447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14827332285 + ... + 14827333795.

It is an arithmetic number, because the mean of its divisors is an integer number (178593569280).

Almost surely, 2^{22404100223440} is an apocalyptic number.

22404100223440 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 22404100223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28574971084800).

22404100223440 is an abundant number, since it is smaller than the sum of its proper divisors (34745841946160).

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

22404100223440 is a wasteful number, since it uses less digits than its factorization.

22404100223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22404100223440 its reverse (4432200140422), we get a palindrome (26836300363862).

The spelling of 22404100223440 in words is "twenty-two trillion, four hundred four billion, one hundred million, two hundred twenty-three thousand, four hundred forty".