4223112320400 has 60 divisors (see below), whose sum is σ = 13528036470192. Its totient is φ = 1126163285120.

The previous prime is 4223112320369. The next prime is 4223112320429. The reversal of 4223112320400 is 40232113224.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1759628934 + ... + 1759631333.

Almost surely, 2^{4223112320400} is an apocalyptic number.

4223112320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4223112320400 is an abundant number, since it is smaller than the sum of its proper divisors (9304924149792).

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

4223112320400 is a wasteful number, since it uses less digits than its factorization.

4223112320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519260288 (or 3519260277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4223112320400 its reverse (40232113224), we get a palindrome (4263344433624).

The spelling of 4223112320400 in words is "four trillion, two hundred twenty-three billion, one hundred twelve million, three hundred twenty thousand, four hundred".