4420469643264 has 288 divisors, whose sum is σ = 13188951659520. Its totient is φ = 1424878387200.

The previous prime is 4420469643263. The next prime is 4420469643281. The reversal of 4420469643264 is 4623469640244.

4420469643264 is a `hidden beast` number, since 4 + 4 + 20 + 46 + 96 + 432 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 4420469643264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4420469643263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1149067389 + ... + 1149071235.

It is an arithmetic number, because the mean of its divisors is an integer number (45794971040).

Almost surely, 2^{4420469643264} 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 4420469643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594475829760).

4420469643264 is an abundant number, since it is smaller than the sum of its proper divisors (8768482016256).

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

4420469643264 is a wasteful number, since it uses less digits than its factorization.

4420469643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 4420469643264 in words is "four trillion, four hundred twenty billion, four hundred sixty-nine million, six hundred forty-three thousand, two hundred sixty-four".