22422414400000 has 240 divisors, whose sum is σ = 57511313149752. Its totient is φ = 8726538240000.

The previous prime is 22422414399989. The next prime is 22422414400003. The reversal of 22422414400000 is 441422422.

It can be written as a sum of positive squares in 12 ways, for example, as 3270657782016 + 19151756617984 = 1808496^2 + 4376272^2 .

It is a super-3 number, since 3×22422414400000³ (a number of 41 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22422414400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59010622 + ... + 59389378.

Almost surely, 2^{22422414400000} is an apocalyptic number.

22422414400000 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 22422414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28755656574876).

22422414400000 is an abundant number, since it is smaller than the sum of its proper divisors (35088898749752).

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

22422414400000 is an frugal number, since it uses more digits than its factorization.

22422414400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378837 (or 378801 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 22422414400000 its reverse (441422422), we get a palindrome (22422855822422).

The spelling of 22422414400000 in words is "twenty-two trillion, four hundred twenty-two billion, four hundred fourteen million, four hundred thousand".