20222442440400 has 60 divisors (see below), whose sum is σ = 64779223954592. Its totient is φ = 5392651317120.

The previous prime is 20222442440383. The next prime is 20222442440413. The reversal of 20222442440400 is 404424422202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×20222442440400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8426016484 + ... + 8426018883.

Almost surely, 2^{20222442440400} is an apocalyptic number.

20222442440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222442440400 is an abundant number, since it is smaller than the sum of its proper divisors (44556781514192).

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

20222442440400 is a wasteful number, since it uses less digits than its factorization.

20222442440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16852035388 (or 16852035377 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 20222442440400 its reverse (404424422202), we get a palindrome (20626866862602).

It can be divided in two parts, 2022244 and 2440400, that added together give a palindrome (4462644).

The spelling of 20222442440400 in words is "twenty trillion, two hundred twenty-two billion, four hundred forty-two million, four hundred forty thousand, four hundred".