4424022212400 has 270 divisors, whose sum is σ = 17859131332692. Its totient is φ = 1011205036800.

The previous prime is 4424022212383. The next prime is 4424022212429. The reversal of 4424022212400 is 42122204244.

4424022212400 is a `hidden beast` number, since 4 + 4 + 2 + 40 + 2 + 2 + 212 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12363346 + ... + 12716145.

Almost surely, 2^{4424022212400} is an apocalyptic number.

4424022212400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424022212400 is an abundant number, since it is smaller than the sum of its proper divisors (13435109120292).

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

4424022212400 is a wasteful number, since it uses less digits than its factorization.

4424022212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25079529 (or 25079508 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4424022212400 its reverse (42122204244), we get a palindrome (4466144416644).

The spelling of 4424022212400 in words is "four trillion, four hundred twenty-four billion, twenty-two million, two hundred twelve thousand, four hundred".