4216954924224 has 1344 divisors, whose sum is σ = 15211304908800. Its totient is φ = 1155508623360.

The previous prime is 4216954924223. The next prime is 4216954924229. The reversal of 4216954924224 is 4224294596124.

4216954924224 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 95 + 492 + 42 + 24 = 666.

4216954924224 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 (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4216954924223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23298093414 + ... + 23298093594.

It is an arithmetic number, because the mean of its divisors is an integer number (11317935200).

Almost surely, 2^{4216954924224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4216954924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605652454400).

4216954924224 is an abundant number, since it is smaller than the sum of its proper divisors (10994349984576).

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

4216954924224 is an equidigital number, since it uses as much as digits as its factorization.

4216954924224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 315 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 4216954924224 in words is "four trillion, two hundred sixteen billion, nine hundred fifty-four million, nine hundred twenty-four thousand, two hundred twenty-four".