4223112010400 has 36 divisors (see below), whose sum is σ = 10309672197342. Its totient is φ = 1689244803840.

The previous prime is 4223112010357. The next prime is 4223112010451. The reversal of 4223112010400 is 40102113224.

4223112010400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3166648722064 + 1056463288336 = 1779508^2 + 1027844^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2639444207 + ... + 2639445806.

Almost surely, 2^{4223112010400} is an apocalyptic number.

4223112010400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4223112010400 is an abundant number, since it is smaller than the sum of its proper divisors (6086560186942).

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

4223112010400 is a wasteful number, since it uses less digits than its factorization.

4223112010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278890033 (or 5278890020 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4223112010400 its reverse (40102113224), we get a palindrome (4263214123624).

The spelling of 4223112010400 in words is "four trillion, two hundred twenty-three billion, one hundred twelve million, ten thousand, four hundred".