4227600384000 has 2048 divisors, whose sum is σ = 18425128550400. Its totient is φ = 936404582400.

The previous prime is 4227600383999. The next prime is 4227600384053. The reversal of 4227600384000 is 4830067224.

4227600384000 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 600 + 3 + 8 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33288191937 + ... + 33288192063.

It is an arithmetic number, because the mean of its divisors is an integer number (8996644800).

Almost surely, 2^{4227600384000} is an apocalyptic number.

4227600384000 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 4227600384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212564275200).

4227600384000 is an abundant number, since it is smaller than the sum of its proper divisors (14197528166400).

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

4227600384000 is an equidigital number, since it uses as much as digits as its factorization.

4227600384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 4227600384000 in words is "four trillion, two hundred twenty-seven billion, six hundred million, three hundred eighty-four thousand".