4122424432000 has 128 divisors (see below), whose sum is σ = 11713574882880. Its totient is φ = 1413402624000.

The previous prime is 4122424431877. The next prime is 4122424432039. The reversal of 4122424432000 is 2344242214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4122424432000.

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 15 ways as a sum of consecutive naturals, for example, 18291681 + ... + 18515680.

Almost surely, 2^{4122424432000} is an apocalyptic number.

4122424432000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122424432000 is an abundant number, since it is smaller than the sum of its proper divisors (7591150450880).

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

4122424432000 is an equidigital number, since it uses as much as digits as its factorization.

4122424432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36807397 (or 36807375 counting only the distinct ones).

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

Adding to 4122424432000 its reverse (2344242214), we get a palindrome (4124768674214).

The spelling of 4122424432000 in words is "four trillion, one hundred twenty-two billion, four hundred twenty-four million, four hundred thirty-two thousand".