4416217344 has 648 divisors, whose sum is σ = 16737383936. Its totient is φ = 1094860800.

The previous prime is 4416217343. The next prime is 4416217357. The reversal of 4416217344 is 4437126144.

4416217344 is a `hidden beast` number, since 441 + 6 + 2 + 173 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4416217299 and 4416217308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416217343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60496092 + ... + 60496164.

Almost surely, 2^4416217344 is an apocalyptic number.

4416217344 is a gapful number since it is divisible by the number (44) 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 4416217344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8368691968).

4416217344 is an abundant number, since it is smaller than the sum of its proper divisors (12321166592).

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

4416217344 is a wasteful number, since it uses less digits than its factorization.

4416217344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4416217344 is about 66454.6262046518. The cubic root of 4416217344 is about 1640.6532872228.

The spelling of 4416217344 in words is "four billion, four hundred sixteen million, two hundred seventeen thousand, three hundred forty-four".