4222114412400 has 360 divisors, whose sum is σ = 14839714103760. Its totient is φ = 1111538319360.

The previous prime is 4222114412339. The next prime is 4222114412401. The reversal of 4222114412400 is 42144112224.

4222114412400 is a `hidden beast` number, since 4 + 2 + 2 + 211 + 4 + 41 + 2 + 400 = 666.

4222114412400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×4222114412400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222114412401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112844896 + ... + 112882304.

It is an arithmetic number, because the mean of its divisors is an integer number (41221428066).

Almost surely, 2^{4222114412400} is an apocalyptic number.

4222114412400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222114412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419857051880).

4222114412400 is an abundant number, since it is smaller than the sum of its proper divisors (10617599691360).

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

4222114412400 is a wasteful number, since it uses less digits than its factorization.

4222114412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37833 (or 37819 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4222114412400 its reverse (42144112224), we get a palindrome (4264258524624).

The spelling of 4222114412400 in words is "four trillion, two hundred twenty-two billion, one hundred fourteen million, four hundred twelve thousand, four hundred".