4412270016 has 224 divisors, whose sum is σ = 16172444160. Its totient is φ = 1146009600.

The previous prime is 4412270011. The next prime is 4412270029. The reversal of 4412270016 is 6100722144.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412270011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116476 + ... + 149636.

Almost surely, 2^4412270016 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 4412270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086222080).

4412270016 is an abundant number, since it is smaller than the sum of its proper divisors (11760174144).

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

4412270016 is a wasteful number, since it uses less digits than its factorization.

4412270016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33200 (or 33184 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4412270016 is about 66424.9201429704. The cubic root of 4412270016 is about 1640.1643222222.

The spelling of 4412270016 in words is "four billion, four hundred twelve million, two hundred seventy thousand, sixteen".