22442400000 has 432 divisors, whose sum is σ = 83032185600. Its totient is φ = 5978880000.

The previous prime is 22442399971. The next prime is 22442400041. The reversal of 22442400000 is 424422.

22442400000 is a `hidden beast` number, since 224 + 42 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×22442400000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 21599481 + ... + 21600519.

Almost surely, 2^22442400000 is an apocalyptic number.

22442400000 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 22442400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41516092800).

22442400000 is an abundant number, since it is smaller than the sum of its proper divisors (60589785600).

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

22442400000 is an frugal number, since it uses more digits than its factorization.

22442400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22442400000 its reverse (424422), we get a palindrome (22442824422).

The spelling of 22442400000 in words is "twenty-two billion, four hundred forty-two million, four hundred thousand".