4224564933120 has 480 divisors, whose sum is σ = 17062255267200. Its totient is φ = 965613035520.

The previous prime is 4224564933109. The next prime is 4224564933139. The reversal of 4224564933120 is 213394654224.

4224564933120 is a `hidden beast` number, since 4 + 2 + 2 + 456 + 49 + 33 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7635435 + ... + 8170005.

It is an arithmetic number, because the mean of its divisors is an integer number (35546365140).

Almost surely, 2^{4224564933120} is an apocalyptic number.

4224564933120 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 4224564933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8531127633600).

4224564933120 is an abundant number, since it is smaller than the sum of its proper divisors (12837690334080).

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

4224564933120 is an equidigital number, since it uses as much as digits as its factorization.

4224564933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534621 (or 534588 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4224564933120 in words is "four trillion, two hundred twenty-four billion, five hundred sixty-four million, nine hundred thirty-three thousand, one hundred twenty".