4221413830800 has 480 divisors, whose sum is σ = 15228666552960. Its totient is φ = 1110499891200.

The previous prime is 4221413830759. The next prime is 4221413830801. The reversal of 4221413830800 is 80383141224.

It is a happy number.

4221413830800 is a `hidden beast` number, since 4 + 2 + 214 + 138 + 308 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4221413830801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678571690 + ... + 678577910.

It is an arithmetic number, because the mean of its divisors is an integer number (31726388652).

Almost surely, 2^{4221413830800} is an apocalyptic number.

4221413830800 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 4221413830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614333276480).

4221413830800 is an abundant number, since it is smaller than the sum of its proper divisors (11007252722160).

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

4221413830800 is a wasteful number, since it uses less digits than its factorization.

4221413830800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 4221413830800 in words is "four trillion, two hundred twenty-one billion, four hundred thirteen million, eight hundred thirty thousand, eight hundred".