4454211216 has 320 divisors, whose sum is σ = 14655173120. Its totient is φ = 1134673920.

The previous prime is 4454211193. The next prime is 4454211217. The reversal of 4454211216 is 6121124544.

It is not an unprimeable number, because it can be changed into a prime (4454211217) 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 63 ways as a sum of consecutive naturals, for example, 19450590 + ... + 19450818.

It is an arithmetic number, because the mean of its divisors is an integer number (45797416).

Almost surely, 2^4454211216 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 4454211216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327586560).

4454211216 is an abundant number, since it is smaller than the sum of its proper divisors (10200961904).

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

4454211216 is a wasteful number, since it uses less digits than its factorization.

4454211216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 4454211216 is about 66739.8772549066. The cubic root of 4454211216 is about 1645.3448482660.

The spelling of 4454211216 in words is "four billion, four hundred fifty-four million, two hundred eleven thousand, two hundred sixteen".